What is the Greatest Common Factor of 87616 and 87635?

Greatest common factor (GCF) of 87616 and 87635 is 1.

GCF(87616,87635) = 1

We will now calculate the prime factors of 87616 and 87635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87616 and 87635.

How to find the GCF of 87616 and 87635?

We will first find the prime factorization of 87616 and 87635. After we will calculate the factors of 87616 and 87635 and find the biggest common factor number .

Step-1: Prime Factorization of 87616

Prime factors of 87616 are 2, 37. Prime factorization of 87616 in exponential form is:

87616 = 2⁶ × 37²

Step-2: Prime Factorization of 87635

Prime factors of 87635 are 5, 17, 1031. Prime factorization of 87635 in exponential form is:

87635 = 5¹ × 17¹ × 1031¹

Step-3: Factors of 87616

List of positive integer factors of 87616 that divides 87616 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 1369, 2368, 2738, 5476, 10952, 21904, 43808

Step-4: Factors of 87635

List of positive integer factors of 87635 that divides 87616 without a remainder.

1, 5, 17, 85, 1031, 5155, 17527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87616 and 87635. The biggest common factor number is the GCF number.
So the greatest common factor 87616 and 87635 is 1.

Also check out the Least Common Multiple of 87616 and 87635