What is the Greatest Common Factor of 28144 and 28158?

Greatest common factor (GCF) of 28144 and 28158 is 2.

GCF(28144,28158) = 2

We will now calculate the prime factors of 28144 and 28158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28144 and 28158.

How to find the GCF of 28144 and 28158?

We will first find the prime factorization of 28144 and 28158. After we will calculate the factors of 28144 and 28158 and find the biggest common factor number .

Step-1: Prime Factorization of 28144

Prime factors of 28144 are 2, 1759. Prime factorization of 28144 in exponential form is:

28144 = 2⁴ × 1759¹

Step-2: Prime Factorization of 28158

Prime factors of 28158 are 2, 3, 13, 19. Prime factorization of 28158 in exponential form is:

28158 = 2¹ × 3¹ × 13¹ × 19²

Step-3: Factors of 28144

List of positive integer factors of 28144 that divides 28144 without a remainder.

1, 2, 4, 8, 16, 1759, 3518, 7036, 14072

Step-4: Factors of 28158

List of positive integer factors of 28158 that divides 28144 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 361, 494, 722, 741, 1083, 1482, 2166, 4693, 9386, 14079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28144 and 28158. The biggest common factor number is the GCF number.
So the greatest common factor 28144 and 28158 is 2.

Also check out the Least Common Multiple of 28144 and 28158