What is the Greatest Common Factor of 88644 and 88656?

Greatest common factor (GCF) of 88644 and 88656 is 12.

GCF(88644,88656) = 12

We will now calculate the prime factors of 88644 and 88656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88644 and 88656.

How to find the GCF of 88644 and 88656?

We will first find the prime factorization of 88644 and 88656. After we will calculate the factors of 88644 and 88656 and find the biggest common factor number .

Step-1: Prime Factorization of 88644

Prime factors of 88644 are 2, 3, 83, 89. Prime factorization of 88644 in exponential form is:

88644 = 2² × 3¹ × 83¹ × 89¹

Step-2: Prime Factorization of 88656

Prime factors of 88656 are 2, 3, 1847. Prime factorization of 88656 in exponential form is:

88656 = 2⁴ × 3¹ × 1847¹

Step-3: Factors of 88644

List of positive integer factors of 88644 that divides 88644 without a remainder.

1, 2, 3, 4, 6, 12, 83, 89, 166, 178, 249, 267, 332, 356, 498, 534, 996, 1068, 7387, 14774, 22161, 29548, 44322

Step-4: Factors of 88656

List of positive integer factors of 88656 that divides 88644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1847, 3694, 5541, 7388, 11082, 14776, 22164, 29552, 44328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88644 and 88656. The biggest common factor number is the GCF number.
So the greatest common factor 88644 and 88656 is 12.

Also check out the Least Common Multiple of 88644 and 88656