What is the Greatest Common Factor of 88674 and 88688?

Greatest common factor (GCF) of 88674 and 88688 is 2.

GCF(88674,88688) = 2

We will now calculate the prime factors of 88674 and 88688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88674 and 88688.

How to find the GCF of 88674 and 88688?

We will first find the prime factorization of 88674 and 88688. After we will calculate the factors of 88674 and 88688 and find the biggest common factor number .

Step-1: Prime Factorization of 88674

Prime factors of 88674 are 2, 3, 14779. Prime factorization of 88674 in exponential form is:

88674 = 2¹ × 3¹ × 14779¹

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 88674

List of positive integer factors of 88674 that divides 88674 without a remainder.

1, 2, 3, 6, 14779, 29558, 44337

Step-4: Factors of 88688

List of positive integer factors of 88688 that divides 88674 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 88674 and 88688. The biggest common factor number is the GCF number.
So the greatest common factor 88674 and 88688 is 2.

Also check out the Least Common Multiple of 88674 and 88688