What is the Greatest Common Factor of 88760 and 88775?

Greatest common factor (GCF) of 88760 and 88775 is 5.

GCF(88760,88775) = 5

We will now calculate the prime factors of 88760 and 88775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88760 and 88775.

How to find the GCF of 88760 and 88775?

We will first find the prime factorization of 88760 and 88775. After we will calculate the factors of 88760 and 88775 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 88775

Prime factors of 88775 are 5, 53, 67. Prime factorization of 88775 in exponential form is:

88775 = 5² × 53¹ × 67¹

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 88775

List of positive integer factors of 88775 that divides 88760 without a remainder.

1, 5, 25, 53, 67, 265, 335, 1325, 1675, 3551, 17755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88760 and 88775. The biggest common factor number is the GCF number.
So the greatest common factor 88760 and 88775 is 5.

Also check out the Least Common Multiple of 88760 and 88775