What is the Greatest Common Factor of 88649 and 88660?

Greatest common factor (GCF) of 88649 and 88660 is 11.

GCF(88649,88660) = 11

We will now calculate the prime factors of 88649 and 88660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88649 and 88660.

How to find the GCF of 88649 and 88660?

We will first find the prime factorization of 88649 and 88660. After we will calculate the factors of 88649 and 88660 and find the biggest common factor number .

Step-1: Prime Factorization of 88649

Prime factors of 88649 are 11, 8059. Prime factorization of 88649 in exponential form is:

88649 = 11¹ × 8059¹

Step-2: 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-3: Factors of 88649

List of positive integer factors of 88649 that divides 88649 without a remainder.

1, 11, 8059

Step-4: Factors of 88660

List of positive integer factors of 88660 that divides 88649 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88649 and 88660. The biggest common factor number is the GCF number.
So the greatest common factor 88649 and 88660 is 11.

Also check out the Least Common Multiple of 88649 and 88660