What is the Greatest Common Factor of 88688 and 88708?

Greatest common factor (GCF) of 88688 and 88708 is 4.

GCF(88688,88708) = 4

We will now calculate the prime factors of 88688 and 88708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88688 and 88708.

How to find the GCF of 88688 and 88708?

We will first find the prime factorization of 88688 and 88708. After we will calculate the factors of 88688 and 88708 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 88688

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

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

Step-4: Factors of 88708

List of positive integer factors of 88708 that divides 88688 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88688 and 88708. The biggest common factor number is the GCF number.
So the greatest common factor 88688 and 88708 is 4.

Also check out the Least Common Multiple of 88688 and 88708