What is the Greatest Common Factor of 87642 and 87660?

Greatest common factor (GCF) of 87642 and 87660 is 18.

GCF(87642,87660) = 18

We will now calculate the prime factors of 87642 and 87660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87642 and 87660.

How to find the GCF of 87642 and 87660?

We will first find the prime factorization of 87642 and 87660. After we will calculate the factors of 87642 and 87660 and find the biggest common factor number .

Step-1: Prime Factorization of 87642

Prime factors of 87642 are 2, 3, 541. Prime factorization of 87642 in exponential form is:

87642 = 2¹ × 3⁴ × 541¹

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 87642

List of positive integer factors of 87642 that divides 87642 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 541, 1082, 1623, 3246, 4869, 9738, 14607, 29214, 43821

Step-4: Factors of 87660

List of positive integer factors of 87660 that divides 87642 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 87642 and 87660. The biggest common factor number is the GCF number.
So the greatest common factor 87642 and 87660 is 18.

Also check out the Least Common Multiple of 87642 and 87660