What is the Greatest Common Factor of 88926 and 88935?

Greatest common factor (GCF) of 88926 and 88935 is 3.

GCF(88926,88935) = 3

We will now calculate the prime factors of 88926 and 88935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88926 and 88935.

How to find the GCF of 88926 and 88935?

We will first find the prime factorization of 88926 and 88935. After we will calculate the factors of 88926 and 88935 and find the biggest common factor number .

Step-1: Prime Factorization of 88926

Prime factors of 88926 are 2, 3, 14821. Prime factorization of 88926 in exponential form is:

88926 = 2¹ × 3¹ × 14821¹

Step-2: Prime Factorization of 88935

Prime factors of 88935 are 3, 5, 7, 11. Prime factorization of 88935 in exponential form is:

88935 = 3¹ × 5¹ × 7² × 11²

Step-3: Factors of 88926

List of positive integer factors of 88926 that divides 88926 without a remainder.

1, 2, 3, 6, 14821, 29642, 44463

Step-4: Factors of 88935

List of positive integer factors of 88935 that divides 88926 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 121, 147, 165, 231, 245, 363, 385, 539, 605, 735, 847, 1155, 1617, 1815, 2541, 2695, 4235, 5929, 8085, 12705, 17787, 29645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88926 and 88935. The biggest common factor number is the GCF number.
So the greatest common factor 88926 and 88935 is 3.

Also check out the Least Common Multiple of 88926 and 88935