What is the Greatest Common Factor of 87632 and 87644?

Greatest common factor (GCF) of 87632 and 87644 is 4.

GCF(87632,87644) = 4

We will now calculate the prime factors of 87632 and 87644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87632 and 87644.

How to find the GCF of 87632 and 87644?

We will first find the prime factorization of 87632 and 87644. After we will calculate the factors of 87632 and 87644 and find the biggest common factor number .

Step-1: Prime Factorization of 87632

Prime factors of 87632 are 2, 5477. Prime factorization of 87632 in exponential form is:

87632 = 2⁴ × 5477¹

Step-2: Prime Factorization of 87644

Prime factors of 87644 are 2, 21911. Prime factorization of 87644 in exponential form is:

87644 = 2² × 21911¹

Step-3: Factors of 87632

List of positive integer factors of 87632 that divides 87632 without a remainder.

1, 2, 4, 8, 16, 5477, 10954, 21908, 43816

Step-4: Factors of 87644

List of positive integer factors of 87644 that divides 87632 without a remainder.

1, 2, 4, 21911, 43822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87632 and 87644. The biggest common factor number is the GCF number.
So the greatest common factor 87632 and 87644 is 4.

Also check out the Least Common Multiple of 87632 and 87644