What is the Greatest Common Factor of 88662 and 88676?

Greatest common factor (GCF) of 88662 and 88676 is 14.

GCF(88662,88676) = 14

We will now calculate the prime factors of 88662 and 88676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88662 and 88676.

How to find the GCF of 88662 and 88676?

We will first find the prime factorization of 88662 and 88676. After we will calculate the factors of 88662 and 88676 and find the biggest common factor number .

Step-1: Prime Factorization of 88662

Prime factors of 88662 are 2, 3, 7, 2111. Prime factorization of 88662 in exponential form is:

88662 = 2¹ × 3¹ × 7¹ × 2111¹

Step-2: Prime Factorization of 88676

Prime factors of 88676 are 2, 7, 3167. Prime factorization of 88676 in exponential form is:

88676 = 2² × 7¹ × 3167¹

Step-3: Factors of 88662

List of positive integer factors of 88662 that divides 88662 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2111, 4222, 6333, 12666, 14777, 29554, 44331

Step-4: Factors of 88676

List of positive integer factors of 88676 that divides 88662 without a remainder.

1, 2, 4, 7, 14, 28, 3167, 6334, 12668, 22169, 44338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88662 and 88676. The biggest common factor number is the GCF number.
So the greatest common factor 88662 and 88676 is 14.

Also check out the Least Common Multiple of 88662 and 88676