What is the Greatest Common Factor of 88656 and 88665?

Greatest common factor (GCF) of 88656 and 88665 is 3.

GCF(88656,88665) = 3

We will now calculate the prime factors of 88656 and 88665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88656 and 88665.

How to find the GCF of 88656 and 88665?

We will first find the prime factorization of 88656 and 88665. After we will calculate the factors of 88656 and 88665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88665

Prime factors of 88665 are 3, 5, 23, 257. Prime factorization of 88665 in exponential form is:

88665 = 3¹ × 5¹ × 23¹ × 257¹

Step-3: Factors of 88656

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

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

Step-4: Factors of 88665

List of positive integer factors of 88665 that divides 88656 without a remainder.

1, 3, 5, 15, 23, 69, 115, 257, 345, 771, 1285, 3855, 5911, 17733, 29555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88656 and 88665. The biggest common factor number is the GCF number.
So the greatest common factor 88656 and 88665 is 3.

Also check out the Least Common Multiple of 88656 and 88665