What is the Greatest Common Factor of 88698 and 88712?

Greatest common factor (GCF) of 88698 and 88712 is 2.

GCF(88698,88712) = 2

We will now calculate the prime factors of 88698 and 88712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88698 and 88712.

How to find the GCF of 88698 and 88712?

We will first find the prime factorization of 88698 and 88712. After we will calculate the factors of 88698 and 88712 and find the biggest common factor number .

Step-1: Prime Factorization of 88698

Prime factors of 88698 are 2, 3, 14783. Prime factorization of 88698 in exponential form is:

88698 = 2¹ × 3¹ × 14783¹

Step-2: Prime Factorization of 88712

Prime factors of 88712 are 2, 13, 853. Prime factorization of 88712 in exponential form is:

88712 = 2³ × 13¹ × 853¹

Step-3: Factors of 88698

List of positive integer factors of 88698 that divides 88698 without a remainder.

1, 2, 3, 6, 14783, 29566, 44349

Step-4: Factors of 88712

List of positive integer factors of 88712 that divides 88698 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 853, 1706, 3412, 6824, 11089, 22178, 44356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88698 and 88712. The biggest common factor number is the GCF number.
So the greatest common factor 88698 and 88712 is 2.

Also check out the Least Common Multiple of 88698 and 88712