What is the Greatest Common Factor of 87492 and 87507?

Greatest common factor (GCF) of 87492 and 87507 is 3.

GCF(87492,87507) = 3

We will now calculate the prime factors of 87492 and 87507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87492 and 87507.

How to find the GCF of 87492 and 87507?

We will first find the prime factorization of 87492 and 87507. After we will calculate the factors of 87492 and 87507 and find the biggest common factor number .

Step-1: Prime Factorization of 87492

Prime factors of 87492 are 2, 3, 23, 317. Prime factorization of 87492 in exponential form is:

87492 = 2² × 3¹ × 23¹ × 317¹

Step-2: Prime Factorization of 87507

Prime factors of 87507 are 3, 7, 463. Prime factorization of 87507 in exponential form is:

87507 = 3³ × 7¹ × 463¹

Step-3: Factors of 87492

List of positive integer factors of 87492 that divides 87492 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 317, 634, 951, 1268, 1902, 3804, 7291, 14582, 21873, 29164, 43746

Step-4: Factors of 87507

List of positive integer factors of 87507 that divides 87492 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 463, 1389, 3241, 4167, 9723, 12501, 29169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87492 and 87507. The biggest common factor number is the GCF number.
So the greatest common factor 87492 and 87507 is 3.

Also check out the Least Common Multiple of 87492 and 87507