What is the Greatest Common Factor of 28972 and 28986?

Greatest common factor (GCF) of 28972 and 28986 is 2.

GCF(28972,28986) = 2

We will now calculate the prime factors of 28972 and 28986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28972 and 28986.

How to find the GCF of 28972 and 28986?

We will first find the prime factorization of 28972 and 28986. After we will calculate the factors of 28972 and 28986 and find the biggest common factor number .

Step-1: Prime Factorization of 28972

Prime factors of 28972 are 2, 7243. Prime factorization of 28972 in exponential form is:

28972 = 2² × 7243¹

Step-2: Prime Factorization of 28986

Prime factors of 28986 are 2, 3, 4831. Prime factorization of 28986 in exponential form is:

28986 = 2¹ × 3¹ × 4831¹

Step-3: Factors of 28972

List of positive integer factors of 28972 that divides 28972 without a remainder.

1, 2, 4, 7243, 14486

Step-4: Factors of 28986

List of positive integer factors of 28986 that divides 28972 without a remainder.

1, 2, 3, 6, 4831, 9662, 14493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28972 and 28986. The biggest common factor number is the GCF number.
So the greatest common factor 28972 and 28986 is 2.

Also check out the Least Common Multiple of 28972 and 28986