What is the Greatest Common Factor of 88675 and 88680?

Greatest common factor (GCF) of 88675 and 88680 is 5.

GCF(88675,88680) = 5

We will now calculate the prime factors of 88675 and 88680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88675 and 88680.

How to find the GCF of 88675 and 88680?

We will first find the prime factorization of 88675 and 88680. After we will calculate the factors of 88675 and 88680 and find the biggest common factor number .

Step-1: Prime Factorization of 88675

Prime factors of 88675 are 5, 3547. Prime factorization of 88675 in exponential form is:

88675 = 5² × 3547¹

Step-2: Prime Factorization of 88680

Prime factors of 88680 are 2, 3, 5, 739. Prime factorization of 88680 in exponential form is:

88680 = 2³ × 3¹ × 5¹ × 739¹

Step-3: Factors of 88675

List of positive integer factors of 88675 that divides 88675 without a remainder.

1, 5, 25, 3547, 17735

Step-4: Factors of 88680

List of positive integer factors of 88680 that divides 88675 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 739, 1478, 2217, 2956, 3695, 4434, 5912, 7390, 8868, 11085, 14780, 17736, 22170, 29560, 44340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88675 and 88680. The biggest common factor number is the GCF number.
So the greatest common factor 88675 and 88680 is 5.

Also check out the Least Common Multiple of 88675 and 88680