What is the Greatest Common Factor of 27150 and 27170?

Greatest common factor (GCF) of 27150 and 27170 is 10.

GCF(27150,27170) = 10

We will now calculate the prime factors of 27150 and 27170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27150 and 27170.

How to find the GCF of 27150 and 27170?

We will first find the prime factorization of 27150 and 27170. After we will calculate the factors of 27150 and 27170 and find the biggest common factor number .

Step-1: Prime Factorization of 27150

Prime factors of 27150 are 2, 3, 5, 181. Prime factorization of 27150 in exponential form is:

27150 = 2¹ × 3¹ × 5² × 181¹

Step-2: Prime Factorization of 27170

Prime factors of 27170 are 2, 5, 11, 13, 19. Prime factorization of 27170 in exponential form is:

27170 = 2¹ × 5¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 27150

List of positive integer factors of 27150 that divides 27150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 181, 362, 543, 905, 1086, 1810, 2715, 4525, 5430, 9050, 13575

Step-4: Factors of 27170

List of positive integer factors of 27170 that divides 27150 without a remainder.

1, 2, 5, 10, 11, 13, 19, 22, 26, 38, 55, 65, 95, 110, 130, 143, 190, 209, 247, 286, 418, 494, 715, 1045, 1235, 1430, 2090, 2470, 2717, 5434, 13585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27150 and 27170. The biggest common factor number is the GCF number.
So the greatest common factor 27150 and 27170 is 10.

Also check out the Least Common Multiple of 27150 and 27170