What is the Greatest Common Factor of 87492 and 87509?

Greatest common factor (GCF) of 87492 and 87509 is 1.

GCF(87492,87509) = 1

We will now calculate the prime factors of 87492 and 87509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87492 and 87509.

How to find the GCF of 87492 and 87509?

We will first find the prime factorization of 87492 and 87509. After we will calculate the factors of 87492 and 87509 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 87509

Prime factors of 87509 are 87509. Prime factorization of 87509 in exponential form is:

87509 = 87509¹

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 87509

List of positive integer factors of 87509 that divides 87492 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87492 and 87509. The biggest common factor number is the GCF number.
So the greatest common factor 87492 and 87509 is 1.

Also check out the Least Common Multiple of 87492 and 87509