What is the Greatest Common Factor of 88620 and 88627?

Greatest common factor (GCF) of 88620 and 88627 is 7.

GCF(88620,88627) = 7

We will now calculate the prime factors of 88620 and 88627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88620 and 88627.

How to find the GCF of 88620 and 88627?

We will first find the prime factorization of 88620 and 88627. After we will calculate the factors of 88620 and 88627 and find the biggest common factor number .

Step-1: Prime Factorization of 88620

Prime factors of 88620 are 2, 3, 5, 7, 211. Prime factorization of 88620 in exponential form is:

88620 = 2² × 3¹ × 5¹ × 7¹ × 211¹

Step-2: Prime Factorization of 88627

Prime factors of 88627 are 7, 11, 1151. Prime factorization of 88627 in exponential form is:

88627 = 7¹ × 11¹ × 1151¹

Step-3: Factors of 88620

List of positive integer factors of 88620 that divides 88620 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 211, 420, 422, 633, 844, 1055, 1266, 1477, 2110, 2532, 2954, 3165, 4220, 4431, 5908, 6330, 7385, 8862, 12660, 14770, 17724, 22155, 29540, 44310

Step-4: Factors of 88627

List of positive integer factors of 88627 that divides 88620 without a remainder.

1, 7, 11, 77, 1151, 8057, 12661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88620 and 88627. The biggest common factor number is the GCF number.
So the greatest common factor 88620 and 88627 is 7.

Also check out the Least Common Multiple of 88620 and 88627