What is the Greatest Common Factor of 25620 and 25627?

Greatest common factor (GCF) of 25620 and 25627 is 7.

GCF(25620,25627) = 7

We will now calculate the prime factors of 25620 and 25627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25620 and 25627.

How to find the GCF of 25620 and 25627?

We will first find the prime factorization of 25620 and 25627. After we will calculate the factors of 25620 and 25627 and find the biggest common factor number .

Step-1: Prime Factorization of 25620

Prime factors of 25620 are 2, 3, 5, 7, 61. Prime factorization of 25620 in exponential form is:

25620 = 2² × 3¹ × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 25627

Prime factors of 25627 are 7, 523. Prime factorization of 25627 in exponential form is:

25627 = 7² × 523¹

Step-3: Factors of 25620

List of positive integer factors of 25620 that divides 25620 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 61, 70, 84, 105, 122, 140, 183, 210, 244, 305, 366, 420, 427, 610, 732, 854, 915, 1220, 1281, 1708, 1830, 2135, 2562, 3660, 4270, 5124, 6405, 8540, 12810

Step-4: Factors of 25627

List of positive integer factors of 25627 that divides 25620 without a remainder.

1, 7, 49, 523, 3661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25620 and 25627. The biggest common factor number is the GCF number.
So the greatest common factor 25620 and 25627 is 7.

Also check out the Least Common Multiple of 25620 and 25627