What is the Greatest Common Factor of 87660 and 87675?

Greatest common factor (GCF) of 87660 and 87675 is 15.

GCF(87660,87675) = 15

We will now calculate the prime factors of 87660 and 87675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87660 and 87675.

How to find the GCF of 87660 and 87675?

We will first find the prime factorization of 87660 and 87675. After we will calculate the factors of 87660 and 87675 and find the biggest common factor number .

Step-1: Prime Factorization of 87660

Prime factors of 87660 are 2, 3, 5, 487. Prime factorization of 87660 in exponential form is:

87660 = 2² × 3² × 5¹ × 487¹

Step-2: Prime Factorization of 87675

Prime factors of 87675 are 3, 5, 7, 167. Prime factorization of 87675 in exponential form is:

87675 = 3¹ × 5² × 7¹ × 167¹

Step-3: Factors of 87660

List of positive integer factors of 87660 that divides 87660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 487, 974, 1461, 1948, 2435, 2922, 4383, 4870, 5844, 7305, 8766, 9740, 14610, 17532, 21915, 29220, 43830

Step-4: Factors of 87675

List of positive integer factors of 87675 that divides 87660 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 167, 175, 501, 525, 835, 1169, 2505, 3507, 4175, 5845, 12525, 17535, 29225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87660 and 87675. The biggest common factor number is the GCF number.
So the greatest common factor 87660 and 87675 is 15.

Also check out the Least Common Multiple of 87660 and 87675