What is the Greatest Common Factor of 88512 and 88516?

Greatest common factor (GCF) of 88512 and 88516 is 4.

GCF(88512,88516) = 4

We will now calculate the prime factors of 88512 and 88516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88512 and 88516.

How to find the GCF of 88512 and 88516?

We will first find the prime factorization of 88512 and 88516. After we will calculate the factors of 88512 and 88516 and find the biggest common factor number .

Step-1: Prime Factorization of 88512

Prime factors of 88512 are 2, 3, 461. Prime factorization of 88512 in exponential form is:

88512 = 2⁶ × 3¹ × 461¹

Step-2: Prime Factorization of 88516

Prime factors of 88516 are 2, 22129. Prime factorization of 88516 in exponential form is:

88516 = 2² × 22129¹

Step-3: Factors of 88512

List of positive integer factors of 88512 that divides 88512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 461, 922, 1383, 1844, 2766, 3688, 5532, 7376, 11064, 14752, 22128, 29504, 44256

Step-4: Factors of 88516

List of positive integer factors of 88516 that divides 88512 without a remainder.

1, 2, 4, 22129, 44258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88512 and 88516. The biggest common factor number is the GCF number.
So the greatest common factor 88512 and 88516 is 4.

Also check out the Least Common Multiple of 88512 and 88516