What is the Greatest Common Factor of 87564 and 87582?

Greatest common factor (GCF) of 87564 and 87582 is 6.

GCF(87564,87582) = 6

We will now calculate the prime factors of 87564 and 87582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87564 and 87582.

How to find the GCF of 87564 and 87582?

We will first find the prime factorization of 87564 and 87582. After we will calculate the factors of 87564 and 87582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87582

Prime factors of 87582 are 2, 3, 11, 1327. Prime factorization of 87582 in exponential form is:

87582 = 2¹ × 3¹ × 11¹ × 1327¹

Step-3: Factors of 87564

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

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

Step-4: Factors of 87582

List of positive integer factors of 87582 that divides 87564 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1327, 2654, 3981, 7962, 14597, 29194, 43791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87564 and 87582. The biggest common factor number is the GCF number.
So the greatest common factor 87564 and 87582 is 6.

Also check out the Least Common Multiple of 87564 and 87582