What is the Greatest Common Factor of 28158 and 28177?

Greatest common factor (GCF) of 28158 and 28177 is 19.

GCF(28158,28177) = 19

We will now calculate the prime factors of 28158 and 28177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28158 and 28177.

How to find the GCF of 28158 and 28177?

We will first find the prime factorization of 28158 and 28177. After we will calculate the factors of 28158 and 28177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28177

Prime factors of 28177 are 19, 1483. Prime factorization of 28177 in exponential form is:

28177 = 19¹ × 1483¹

Step-3: Factors of 28158

List of positive integer factors of 28158 that divides 28158 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

Step-4: Factors of 28177

List of positive integer factors of 28177 that divides 28158 without a remainder.

1, 19, 1483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28158 and 28177. The biggest common factor number is the GCF number.
So the greatest common factor 28158 and 28177 is 19.

Also check out the Least Common Multiple of 28158 and 28177