What is the Greatest Common Factor of 28124 and 28130?

Greatest common factor (GCF) of 28124 and 28130 is 2.

GCF(28124,28130) = 2

We will now calculate the prime factors of 28124 and 28130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28124 and 28130.

How to find the GCF of 28124 and 28130?

We will first find the prime factorization of 28124 and 28130. After we will calculate the factors of 28124 and 28130 and find the biggest common factor number .

Step-1: Prime Factorization of 28124

Prime factors of 28124 are 2, 79, 89. Prime factorization of 28124 in exponential form is:

28124 = 2² × 79¹ × 89¹

Step-2: Prime Factorization of 28130

Prime factors of 28130 are 2, 5, 29, 97. Prime factorization of 28130 in exponential form is:

28130 = 2¹ × 5¹ × 29¹ × 97¹

Step-3: Factors of 28124

List of positive integer factors of 28124 that divides 28124 without a remainder.

1, 2, 4, 79, 89, 158, 178, 316, 356, 7031, 14062

Step-4: Factors of 28130

List of positive integer factors of 28130 that divides 28124 without a remainder.

1, 2, 5, 10, 29, 58, 97, 145, 194, 290, 485, 970, 2813, 5626, 14065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28124 and 28130. The biggest common factor number is the GCF number.
So the greatest common factor 28124 and 28130 is 2.

Also check out the Least Common Multiple of 28124 and 28130