What is the Greatest Common Factor of 28131 and 28146?

Greatest common factor (GCF) of 28131 and 28146 is 3.

GCF(28131,28146) = 3

We will now calculate the prime factors of 28131 and 28146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28131 and 28146.

How to find the GCF of 28131 and 28146?

We will first find the prime factorization of 28131 and 28146. After we will calculate the factors of 28131 and 28146 and find the biggest common factor number .

Step-1: Prime Factorization of 28131

Prime factors of 28131 are 3, 9377. Prime factorization of 28131 in exponential form is:

28131 = 3¹ × 9377¹

Step-2: Prime Factorization of 28146

Prime factors of 28146 are 2, 3, 4691. Prime factorization of 28146 in exponential form is:

28146 = 2¹ × 3¹ × 4691¹

Step-3: Factors of 28131

List of positive integer factors of 28131 that divides 28131 without a remainder.

1, 3, 9377

Step-4: Factors of 28146

List of positive integer factors of 28146 that divides 28131 without a remainder.

1, 2, 3, 6, 4691, 9382, 14073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28131 and 28146. The biggest common factor number is the GCF number.
So the greatest common factor 28131 and 28146 is 3.

Also check out the Least Common Multiple of 28131 and 28146