What is the Greatest Common Factor of 88566 and 88572?

Greatest common factor (GCF) of 88566 and 88572 is 6.

GCF(88566,88572) = 6

We will now calculate the prime factors of 88566 and 88572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88566 and 88572.

How to find the GCF of 88566 and 88572?

We will first find the prime factorization of 88566 and 88572. After we will calculate the factors of 88566 and 88572 and find the biggest common factor number .

Step-1: Prime Factorization of 88566

Prime factors of 88566 are 2, 3, 29, 509. Prime factorization of 88566 in exponential form is:

88566 = 2¹ × 3¹ × 29¹ × 509¹

Step-2: Prime Factorization of 88572

Prime factors of 88572 are 2, 3, 11, 61. Prime factorization of 88572 in exponential form is:

88572 = 2² × 3¹ × 11² × 61¹

Step-3: Factors of 88566

List of positive integer factors of 88566 that divides 88566 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 509, 1018, 1527, 3054, 14761, 29522, 44283

Step-4: Factors of 88572

List of positive integer factors of 88572 that divides 88566 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 121, 122, 132, 183, 242, 244, 363, 366, 484, 671, 726, 732, 1342, 1452, 2013, 2684, 4026, 7381, 8052, 14762, 22143, 29524, 44286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88566 and 88572. The biggest common factor number is the GCF number.
So the greatest common factor 88566 and 88572 is 6.

Also check out the Least Common Multiple of 88566 and 88572