What is the Greatest Common Factor of 51625 and 51632?

Greatest common factor (GCF) of 51625 and 51632 is 7.

GCF(51625,51632) = 7

We will now calculate the prime factors of 51625 and 51632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51625 and 51632.

How to find the GCF of 51625 and 51632?

We will first find the prime factorization of 51625 and 51632. After we will calculate the factors of 51625 and 51632 and find the biggest common factor number .

Step-1: Prime Factorization of 51625

Prime factors of 51625 are 5, 7, 59. Prime factorization of 51625 in exponential form is:

51625 = 5³ × 7¹ × 59¹

Step-2: Prime Factorization of 51632

Prime factors of 51632 are 2, 7, 461. Prime factorization of 51632 in exponential form is:

51632 = 2⁴ × 7¹ × 461¹

Step-3: Factors of 51625

List of positive integer factors of 51625 that divides 51625 without a remainder.

1, 5, 7, 25, 35, 59, 125, 175, 295, 413, 875, 1475, 2065, 7375, 10325

Step-4: Factors of 51632

List of positive integer factors of 51632 that divides 51625 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 461, 922, 1844, 3227, 3688, 6454, 7376, 12908, 25816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51625 and 51632. The biggest common factor number is the GCF number.
So the greatest common factor 51625 and 51632 is 7.

Also check out the Least Common Multiple of 51625 and 51632