What is the Greatest Common Factor of 27140 and 27150?

Greatest common factor (GCF) of 27140 and 27150 is 10.

GCF(27140,27150) = 10

We will now calculate the prime factors of 27140 and 27150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27140 and 27150.

How to find the GCF of 27140 and 27150?

We will first find the prime factorization of 27140 and 27150. After we will calculate the factors of 27140 and 27150 and find the biggest common factor number .

Step-1: Prime Factorization of 27140

Prime factors of 27140 are 2, 5, 23, 59. Prime factorization of 27140 in exponential form is:

27140 = 2² × 5¹ × 23¹ × 59¹

Step-2: 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-3: Factors of 27140

List of positive integer factors of 27140 that divides 27140 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 59, 92, 115, 118, 230, 236, 295, 460, 590, 1180, 1357, 2714, 5428, 6785, 13570

Step-4: Factors of 27150

List of positive integer factors of 27150 that divides 27140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27140 and 27150. The biggest common factor number is the GCF number.
So the greatest common factor 27140 and 27150 is 10.

Also check out the Least Common Multiple of 27140 and 27150