What is the Greatest Common Factor of 88680 and 88687?

Greatest common factor (GCF) of 88680 and 88687 is 1.

GCF(88680,88687) = 1

We will now calculate the prime factors of 88680 and 88687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88680 and 88687.

How to find the GCF of 88680 and 88687?

We will first find the prime factorization of 88680 and 88687. After we will calculate the factors of 88680 and 88687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88687

Prime factors of 88687 are 131, 677. Prime factorization of 88687 in exponential form is:

88687 = 131¹ × 677¹

Step-3: Factors of 88680

List of positive integer factors of 88680 that divides 88680 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

Step-4: Factors of 88687

List of positive integer factors of 88687 that divides 88680 without a remainder.

1, 131, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88680 and 88687. The biggest common factor number is the GCF number.
So the greatest common factor 88680 and 88687 is 1.

Also check out the Least Common Multiple of 88680 and 88687