What is the Greatest Common Factor of 88665 and 88680?

Greatest common factor (GCF) of 88665 and 88680 is 15.

GCF(88665,88680) = 15

We will now calculate the prime factors of 88665 and 88680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88665 and 88680.

How to find the GCF of 88665 and 88680?

We will first find the prime factorization of 88665 and 88680. After we will calculate the factors of 88665 and 88680 and find the biggest common factor number .

Step-1: Prime Factorization of 88665

Prime factors of 88665 are 3, 5, 23, 257. Prime factorization of 88665 in exponential form is:

88665 = 3¹ × 5¹ × 23¹ × 257¹

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 88665

List of positive integer factors of 88665 that divides 88665 without a remainder.

1, 3, 5, 15, 23, 69, 115, 257, 345, 771, 1285, 3855, 5911, 17733, 29555

Step-4: Factors of 88680

List of positive integer factors of 88680 that divides 88665 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 88665 and 88680. The biggest common factor number is the GCF number.
So the greatest common factor 88665 and 88680 is 15.

Also check out the Least Common Multiple of 88665 and 88680