What is the Greatest Common Factor of 88764 and 88772?

Greatest common factor (GCF) of 88764 and 88772 is 4.

GCF(88764,88772) = 4

We will now calculate the prime factors of 88764 and 88772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88764 and 88772.

How to find the GCF of 88764 and 88772?

We will first find the prime factorization of 88764 and 88772. After we will calculate the factors of 88764 and 88772 and find the biggest common factor number .

Step-1: Prime Factorization of 88764

Prime factors of 88764 are 2, 3, 13, 569. Prime factorization of 88764 in exponential form is:

88764 = 2² × 3¹ × 13¹ × 569¹

Step-2: Prime Factorization of 88772

Prime factors of 88772 are 2, 22193. Prime factorization of 88772 in exponential form is:

88772 = 2² × 22193¹

Step-3: Factors of 88764

List of positive integer factors of 88764 that divides 88764 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 569, 1138, 1707, 2276, 3414, 6828, 7397, 14794, 22191, 29588, 44382

Step-4: Factors of 88772

List of positive integer factors of 88772 that divides 88764 without a remainder.

1, 2, 4, 22193, 44386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88764 and 88772. The biggest common factor number is the GCF number.
So the greatest common factor 88764 and 88772 is 4.

Also check out the Least Common Multiple of 88764 and 88772