What is the Greatest Common Factor of 87624 and 87628?

Greatest common factor (GCF) of 87624 and 87628 is 4.

GCF(87624,87628) = 4

We will now calculate the prime factors of 87624 and 87628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87624 and 87628.

How to find the GCF of 87624 and 87628?

We will first find the prime factorization of 87624 and 87628. After we will calculate the factors of 87624 and 87628 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87628

Prime factors of 87628 are 2, 19, 1153. Prime factorization of 87628 in exponential form is:

87628 = 2² × 19¹ × 1153¹

Step-3: Factors of 87624

List of positive integer factors of 87624 that divides 87624 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

Step-4: Factors of 87628

List of positive integer factors of 87628 that divides 87624 without a remainder.

1, 2, 4, 19, 38, 76, 1153, 2306, 4612, 21907, 43814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87624 and 87628. The biggest common factor number is the GCF number.
So the greatest common factor 87624 and 87628 is 4.

Also check out the Least Common Multiple of 87624 and 87628