What is the Greatest Common Factor of 88680 and 88690?

Greatest common factor (GCF) of 88680 and 88690 is 10.

GCF(88680,88690) = 10

We will now calculate the prime factors of 88680 and 88690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88680 and 88690.

How to find the GCF of 88680 and 88690?

We will first find the prime factorization of 88680 and 88690. After we will calculate the factors of 88680 and 88690 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 88690

Prime factors of 88690 are 2, 5, 7, 181. Prime factorization of 88690 in exponential form is:

88690 = 2¹ × 5¹ × 7² × 181¹

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 88690

List of positive integer factors of 88690 that divides 88680 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 181, 245, 362, 490, 905, 1267, 1810, 2534, 6335, 8869, 12670, 17738, 44345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88680 and 88690. The biggest common factor number is the GCF number.
So the greatest common factor 88680 and 88690 is 10.

Also check out the Least Common Multiple of 88680 and 88690