What is the Greatest Common Factor of 88760 and 88772?

Greatest common factor (GCF) of 88760 and 88772 is 4.

GCF(88760,88772) = 4

We will now calculate the prime factors of 88760 and 88772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88760 and 88772.

How to find the GCF of 88760 and 88772?

We will first find the prime factorization of 88760 and 88772. After we will calculate the factors of 88760 and 88772 and find the biggest common factor number .

Step-1: Prime Factorization of 88760

Prime factors of 88760 are 2, 5, 7, 317. Prime factorization of 88760 in exponential form is:

88760 = 2³ × 5¹ × 7¹ × 317¹

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 88760

List of positive integer factors of 88760 that divides 88760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 317, 634, 1268, 1585, 2219, 2536, 3170, 4438, 6340, 8876, 11095, 12680, 17752, 22190, 44380

Step-4: Factors of 88772

List of positive integer factors of 88772 that divides 88760 without a remainder.

1, 2, 4, 22193, 44386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88760 and 88772. The biggest common factor number is the GCF number.
So the greatest common factor 88760 and 88772 is 4.

Also check out the Least Common Multiple of 88760 and 88772