What is the Greatest Common Factor of 8728 and 8732?

Greatest common factor (GCF) of 8728 and 8732 is 4.

GCF(8728,8732) = 4

We will now calculate the prime factors of 8728 and 8732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8728 and 8732.

How to find the GCF of 8728 and 8732?

We will first find the prime factorization of 8728 and 8732. After we will calculate the factors of 8728 and 8732 and find the biggest common factor number .

Step-1: Prime Factorization of 8728

Prime factors of 8728 are 2, 1091. Prime factorization of 8728 in exponential form is:

8728 = 2³ × 1091¹

Step-2: Prime Factorization of 8732

Prime factors of 8732 are 2, 37, 59. Prime factorization of 8732 in exponential form is:

8732 = 2² × 37¹ × 59¹

Step-3: Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1, 2, 4, 8, 1091, 2182, 4364

Step-4: Factors of 8732

List of positive integer factors of 8732 that divides 8728 without a remainder.

1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8728 and 8732. The biggest common factor number is the GCF number.
So the greatest common factor 8728 and 8732 is 4.

Also check out the Least Common Multiple of 8728 and 8732