What is the Greatest Common Factor of 87723 and 87732?

Greatest common factor (GCF) of 87723 and 87732 is 9.

GCF(87723,87732) = 9

We will now calculate the prime factors of 87723 and 87732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87723 and 87732.

How to find the GCF of 87723 and 87732?

We will first find the prime factorization of 87723 and 87732. After we will calculate the factors of 87723 and 87732 and find the biggest common factor number .

Step-1: Prime Factorization of 87723

Prime factors of 87723 are 3, 19. Prime factorization of 87723 in exponential form is:

87723 = 3⁵ × 19²

Step-2: Prime Factorization of 87732

Prime factors of 87732 are 2, 3, 2437. Prime factorization of 87732 in exponential form is:

87732 = 2² × 3² × 2437¹

Step-3: Factors of 87723

List of positive integer factors of 87723 that divides 87723 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 361, 513, 1083, 1539, 3249, 4617, 9747, 29241

Step-4: Factors of 87732

List of positive integer factors of 87732 that divides 87723 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2437, 4874, 7311, 9748, 14622, 21933, 29244, 43866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87723 and 87732. The biggest common factor number is the GCF number.
So the greatest common factor 87723 and 87732 is 9.

Also check out the Least Common Multiple of 87723 and 87732