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GCF of 25 and 55 is the largest possible number that divides 25 and 55 exactly without any remainder. The factors of 25 and 55 are 1, 5, 25 and 1, 5, 11, 55 respectively. There are 3 commonly used methods to find the GCF of 25 and 55 - Euclidean algorithm, long division, and prime factorization.

The GCF of 25 and 55 is 5. To calculate the greatest common factor of 25 and 55, we need to factor each number (factors of 25 = 1, 5, 25; factors of 55 = 1, 5, 11, 55) and choose the greatest factor that exactly divides both 25 and 55, i.e., 5.

The GCF of two non-zero integers, x(25) and y(55), is the greatest positive integer m(5) that divides both x(25) and y(55) without any remainder.

The greatest number that divides 25 and 55 exactly is their greatest common factor, i.e. GCF of 25 and 55. ⇒ Factors of 25 and 55:

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GCF(55, 25) × LCM(55, 25) = 55 × 25 Since the GCF of 55 and 25 = 5 ⇒ 5 × LCM(55, 25) = 1375 Therefore, LCM = 275 ☛ Greatest Common Factor Calculator

Given: GCF (x, 25) = 5 and LCM (x, 25) = 275 ∵ GCF × LCM = 25 × (x) ⇒ x = (GCF × LCM)/25 ⇒ x = (5 × 275)/25 ⇒ x = 55 Therefore, the other number is 55.

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To find the GCF of 25, 55 using long division method, 55 is divided by 25. The corresponding divisor (5) when remainder equals 0 is taken as GCF.

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To find the GCF of 25 and 55, we will find the prime factorization of the given numbers, i.e. 25 = 5 × 5; 55 = 5 × 11. ⇒ Since 5 is the only common prime factor of 25 and 55. Hence, GCF (25, 55) = 5. ☛ Prime Numbers