GCF(100, 40) × LCM(100, 40) = 100 × 40 Since the GCF of 100 and 40 = 20 ⇒ 20 × LCM(100, 40) = 4000 Therefore, LCM = 200 ☛ Greatest Common Factor Calculator

The GCF of 40 and 100 is 20. To calculate the GCF of 40 and 100, we need to factor each number (factors of 40 = 1, 2, 4, 5, 8, 10, 20, 40; factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100) and choose the greatest factor that exactly divides both 40 and 100, i.e., 20.

Given: GCF = 20 and product of numbers = 4000 ∵ LCM × GCF = product of numbers ⇒ LCM = Product/GCF = 4000/20 Therefore, the LCM is 200.

The GCF of two non-zero integers, x(40) and y(100), is the greatest positive integer m(20) that divides both x(40) and y(100) without any remainder.

GCF of 40 and 100 is the largest possible number that divides 40 and 100 exactly without any remainder. The factors of 40 and 100 are 1, 2, 4, 5, 8, 10, 20, 40 and 1, 2, 4, 5, 10, 20, 25, 50, 100 respectively. There are 3 commonly used methods to find the GCF of 40 and 100 - long division, prime factorization, and Euclidean algorithm.

There are 6 common factors of 40 and 100, that are 1, 2, 4, 5, 10, and 20. Therefore, the greatest common factor of 40 and 100 is 20.

Prime factorization of 40 and 100 is (2 × 2 × 2 × 5) and (2 × 2 × 5 × 5) respectively. As visible, 40 and 100 have common prime factors. Hence, the GCF of 40 and 100 is 2 × 2 × 5 = 20.

To find the GCF of 40, 100 using long division method, 100 is divided by 40. The corresponding divisor (20) when remainder equals 0 is taken as GCF.

The greatest number that divides 40 and 100 exactly is their greatest common factor, i.e. GCF of 40 and 100. ⇒ Factors of 40 and 100:

To find the GCF of 40 and 100, we will find the prime factorization of the given numbers, i.e. 40 = 2 × 2 × 2 × 5; 100 = 2 × 2 × 5 × 5. ⇒ Since 2, 2, 5 are common terms in the prime factorization of 40 and 100. Hence, GCF(40, 100) = 2 × 2 × 5 = 20 ☛ What is a Prime Number?