What is the Greatest Common Factor of 88620 and 88625?

Greatest common factor (GCF) of 88620 and 88625 is 5.

GCF(88620,88625) = 5

We will now calculate the prime factors of 88620 and 88625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88620 and 88625.

How to find the GCF of 88620 and 88625?

We will first find the prime factorization of 88620 and 88625. After we will calculate the factors of 88620 and 88625 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 88625

Prime factors of 88625 are 5, 709. Prime factorization of 88625 in exponential form is:

88625 = 5³ × 709¹

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 88625

List of positive integer factors of 88625 that divides 88620 without a remainder.

1, 5, 25, 125, 709, 3545, 17725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88620 and 88625. The biggest common factor number is the GCF number.
So the greatest common factor 88620 and 88625 is 5.

Also check out the Least Common Multiple of 88620 and 88625