What is the Greatest Common Factor of 28132 and 28147?

Greatest common factor (GCF) of 28132 and 28147 is 1.

GCF(28132,28147) = 1

We will now calculate the prime factors of 28132 and 28147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28132 and 28147.

How to find the GCF of 28132 and 28147?

We will first find the prime factorization of 28132 and 28147. After we will calculate the factors of 28132 and 28147 and find the biggest common factor number .

Step-1: Prime Factorization of 28132

Prime factors of 28132 are 2, 13, 541. Prime factorization of 28132 in exponential form is:

28132 = 2² × 13¹ × 541¹

Step-2: Prime Factorization of 28147

Prime factors of 28147 are 7, 4021. Prime factorization of 28147 in exponential form is:

28147 = 7¹ × 4021¹

Step-3: Factors of 28132

List of positive integer factors of 28132 that divides 28132 without a remainder.

1, 2, 4, 13, 26, 52, 541, 1082, 2164, 7033, 14066

Step-4: Factors of 28147

List of positive integer factors of 28147 that divides 28132 without a remainder.

1, 7, 4021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28132 and 28147. The biggest common factor number is the GCF number.
So the greatest common factor 28132 and 28147 is 1.

Also check out the Least Common Multiple of 28132 and 28147