Given: GCF = 5 and product of numbers = 1750 ∵ LCM × GCF = product of numbers ⇒ LCM = Product/GCF = 1750/5 Therefore, the LCM is 350.

Prime factorization of 35 and 50 is (5 × 7) and (2 × 5 × 5) respectively. As visible, 35 and 50 have only one common prime factor i.e. 5. Hence, the GCF of 35 and 50 is 5.

The GCF of 35 and 50 is 5. To calculate the GCF of 35 and 50, we need to factor each number (factors of 35 = 1, 5, 7, 35; factors of 50 = 1, 2, 5, 10, 25, 50) and choose the greatest factor that exactly divides both 35 and 50, i.e., 5.

The following equation can be used to express the relation between Least Common Multiple and GCF of 35 and 50, i.e. GCF × LCM = 35 × 50.

GCF(50, 35) × LCM(50, 35) = 50 × 35 Since the GCF of 50 and 35 = 5 ⇒ 5 × LCM(50, 35) = 1750 Therefore, LCM = 350 ☛ Greatest Common Factor Calculator

The GCF of two non-zero integers, x(35) and y(50), is the greatest positive integer m(5) that divides both x(35) and y(50) without any remainder.

To find the GCF of 35 and 50, we will find the prime factorization of the given numbers, i.e. 35 = 5 × 7; 50 = 2 × 5 × 5. ⇒ Since 5 is the only common prime factor of 35 and 50. Hence, GCF (35, 50) = 5. ☛ What is a Prime Number?

GCF of 35 and 50 is the largest possible number that divides 35 and 50 exactly without any remainder. The factors of 35 and 50 are 1, 5, 7, 35 and 1, 2, 5, 10, 25, 50 respectively. There are 3 commonly used methods to find the GCF of 35 and 50 - prime factorization, long division, and Euclidean algorithm.

The greatest number that divides 35 and 50 exactly is their greatest common factor, i.e. GCF of 35 and 50. ⇒ Factors of 35 and 50:

To find the GCF of 35, 50 using long division method, 50 is divided by 35. The corresponding divisor (5) when remainder equals 0 is taken as GCF.