What is the Greatest Common Factor of 87607 and 87624?

Greatest common factor (GCF) of 87607 and 87624 is 1.

GCF(87607,87624) = 1

We will now calculate the prime factors of 87607 and 87624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87607 and 87624.

How to find the GCF of 87607 and 87624?

We will first find the prime factorization of 87607 and 87624. After we will calculate the factors of 87607 and 87624 and find the biggest common factor number .

Step-1: Prime Factorization of 87607

Prime factors of 87607 are 13, 23, 293. Prime factorization of 87607 in exponential form is:

87607 = 13¹ × 23¹ × 293¹

Step-2: Prime Factorization of 87624

Prime factors of 87624 are 2, 3, 1217. Prime factorization of 87624 in exponential form is:

87624 = 2³ × 3² × 1217¹

Step-3: Factors of 87607

List of positive integer factors of 87607 that divides 87607 without a remainder.

1, 13, 23, 293, 299, 3809, 6739

Step-4: Factors of 87624

List of positive integer factors of 87624 that divides 87607 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1217, 2434, 3651, 4868, 7302, 9736, 10953, 14604, 21906, 29208, 43812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87607 and 87624. The biggest common factor number is the GCF number.
So the greatest common factor 87607 and 87624 is 1.

Also check out the Least Common Multiple of 87607 and 87624