What is the Greatest Common Factor of 88660 and 88672?

Greatest common factor (GCF) of 88660 and 88672 is 4.

GCF(88660,88672) = 4

We will now calculate the prime factors of 88660 and 88672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88660 and 88672.

How to find the GCF of 88660 and 88672?

We will first find the prime factorization of 88660 and 88672. After we will calculate the factors of 88660 and 88672 and find the biggest common factor number .

Step-1: Prime Factorization of 88660

Prime factors of 88660 are 2, 5, 11, 13, 31. Prime factorization of 88660 in exponential form is:

88660 = 2² × 5¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 88672

Prime factors of 88672 are 2, 17, 163. Prime factorization of 88672 in exponential form is:

88672 = 2⁵ × 17¹ × 163¹

Step-3: Factors of 88660

List of positive integer factors of 88660 that divides 88660 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 31, 44, 52, 55, 62, 65, 110, 124, 130, 143, 155, 220, 260, 286, 310, 341, 403, 572, 620, 682, 715, 806, 1364, 1430, 1612, 1705, 2015, 2860, 3410, 4030, 4433, 6820, 8060, 8866, 17732, 22165, 44330

Step-4: Factors of 88672

List of positive integer factors of 88672 that divides 88660 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 163, 272, 326, 544, 652, 1304, 2608, 2771, 5216, 5542, 11084, 22168, 44336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88660 and 88672. The biggest common factor number is the GCF number.
So the greatest common factor 88660 and 88672 is 4.

Also check out the Least Common Multiple of 88660 and 88672