What is the Greatest Common Factor of 88605 and 88620?

Greatest common factor (GCF) of 88605 and 88620 is 15.

GCF(88605,88620) = 15

We will now calculate the prime factors of 88605 and 88620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88605 and 88620.

How to find the GCF of 88605 and 88620?

We will first find the prime factorization of 88605 and 88620. After we will calculate the factors of 88605 and 88620 and find the biggest common factor number .

Step-1: Prime Factorization of 88605

Prime factors of 88605 are 3, 5, 11, 179. Prime factorization of 88605 in exponential form is:

88605 = 3² × 5¹ × 11¹ × 179¹

Step-2: 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-3: Factors of 88605

List of positive integer factors of 88605 that divides 88605 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 179, 495, 537, 895, 1611, 1969, 2685, 5907, 8055, 9845, 17721, 29535

Step-4: Factors of 88620

List of positive integer factors of 88620 that divides 88605 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88605 and 88620. The biggest common factor number is the GCF number.
So the greatest common factor 88605 and 88620 is 15.

Also check out the Least Common Multiple of 88605 and 88620