What is the Greatest Common Factor of 88676 and 88688?

Greatest common factor (GCF) of 88676 and 88688 is 4.

GCF(88676,88688) = 4

We will now calculate the prime factors of 88676 and 88688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88676 and 88688.

How to find the GCF of 88676 and 88688?

We will first find the prime factorization of 88676 and 88688. After we will calculate the factors of 88676 and 88688 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88688

Prime factors of 88688 are 2, 23, 241. Prime factorization of 88688 in exponential form is:

88688 = 2⁴ × 23¹ × 241¹

Step-3: Factors of 88676

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

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

Step-4: Factors of 88688

List of positive integer factors of 88688 that divides 88676 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 241, 368, 482, 964, 1928, 3856, 5543, 11086, 22172, 44344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88676 and 88688. The biggest common factor number is the GCF number.
So the greatest common factor 88676 and 88688 is 4.

Also check out the Least Common Multiple of 88676 and 88688