What is the Greatest Common Factor of 87645 and 87660?

Greatest common factor (GCF) of 87645 and 87660 is 15.

GCF(87645,87660) = 15

We will now calculate the prime factors of 87645 and 87660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87645 and 87660.

How to find the GCF of 87645 and 87660?

We will first find the prime factorization of 87645 and 87660. After we will calculate the factors of 87645 and 87660 and find the biggest common factor number .

Step-1: Prime Factorization of 87645

Prime factors of 87645 are 3, 5, 5843. Prime factorization of 87645 in exponential form is:

87645 = 3¹ × 5¹ × 5843¹

Step-2: 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-3: Factors of 87645

List of positive integer factors of 87645 that divides 87645 without a remainder.

1, 3, 5, 15, 5843, 17529, 29215

Step-4: Factors of 87660

List of positive integer factors of 87660 that divides 87645 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87645 and 87660. The biggest common factor number is the GCF number.
So the greatest common factor 87645 and 87660 is 15.

Also check out the Least Common Multiple of 87645 and 87660