What is the Greatest Common Factor of 87546 and 87564?

Greatest common factor (GCF) of 87546 and 87564 is 6.

GCF(87546,87564) = 6

We will now calculate the prime factors of 87546 and 87564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87546 and 87564.

How to find the GCF of 87546 and 87564?

We will first find the prime factorization of 87546 and 87564. After we will calculate the factors of 87546 and 87564 and find the biggest common factor number .

Step-1: Prime Factorization of 87546

Prime factors of 87546 are 2, 3, 14591. Prime factorization of 87546 in exponential form is:

87546 = 2¹ × 3¹ × 14591¹

Step-2: Prime Factorization of 87564

Prime factors of 87564 are 2, 3, 7297. Prime factorization of 87564 in exponential form is:

87564 = 2² × 3¹ × 7297¹

Step-3: Factors of 87546

List of positive integer factors of 87546 that divides 87546 without a remainder.

1, 2, 3, 6, 14591, 29182, 43773

Step-4: Factors of 87564

List of positive integer factors of 87564 that divides 87546 without a remainder.

1, 2, 3, 4, 6, 12, 7297, 14594, 21891, 29188, 43782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87546 and 87564. The biggest common factor number is the GCF number.
So the greatest common factor 87546 and 87564 is 6.

Also check out the Least Common Multiple of 87546 and 87564