What is the Greatest Common Factor of 88708 and 88712?

Greatest common factor (GCF) of 88708 and 88712 is 4.

GCF(88708,88712) = 4

We will now calculate the prime factors of 88708 and 88712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88708 and 88712.

How to find the GCF of 88708 and 88712?

We will first find the prime factorization of 88708 and 88712. After we will calculate the factors of 88708 and 88712 and find the biggest common factor number .

Step-1: Prime Factorization of 88708

Prime factors of 88708 are 2, 67, 331. Prime factorization of 88708 in exponential form is:

88708 = 2² × 67¹ × 331¹

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 88708

List of positive integer factors of 88708 that divides 88708 without a remainder.

1, 2, 4, 67, 134, 268, 331, 662, 1324, 22177, 44354

Step-4: Factors of 88712

List of positive integer factors of 88712 that divides 88708 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 88708 and 88712. The biggest common factor number is the GCF number.
So the greatest common factor 88708 and 88712 is 4.

Also check out the Least Common Multiple of 88708 and 88712