What is the Greatest Common Factor of 88776 and 88788?

Greatest common factor (GCF) of 88776 and 88788 is 12.

GCF(88776,88788) = 12

We will now calculate the prime factors of 88776 and 88788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88776 and 88788.

How to find the GCF of 88776 and 88788?

We will first find the prime factorization of 88776 and 88788. After we will calculate the factors of 88776 and 88788 and find the biggest common factor number .

Step-1: Prime Factorization of 88776

Prime factors of 88776 are 2, 3, 137. Prime factorization of 88776 in exponential form is:

88776 = 2³ × 3⁴ × 137¹

Step-2: Prime Factorization of 88788

Prime factors of 88788 are 2, 3, 7, 151. Prime factorization of 88788 in exponential form is:

88788 = 2² × 3¹ × 7² × 151¹

Step-3: Factors of 88776

List of positive integer factors of 88776 that divides 88776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 137, 162, 216, 274, 324, 411, 548, 648, 822, 1096, 1233, 1644, 2466, 3288, 3699, 4932, 7398, 9864, 11097, 14796, 22194, 29592, 44388

Step-4: Factors of 88788

List of positive integer factors of 88788 that divides 88776 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 151, 196, 294, 302, 453, 588, 604, 906, 1057, 1812, 2114, 3171, 4228, 6342, 7399, 12684, 14798, 22197, 29596, 44394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88776 and 88788. The biggest common factor number is the GCF number.
So the greatest common factor 88776 and 88788 is 12.

Also check out the Least Common Multiple of 88776 and 88788