What is the Greatest Common Factor of 27140 and 27160?

Greatest common factor (GCF) of 27140 and 27160 is 20.

GCF(27140,27160) = 20

We will now calculate the prime factors of 27140 and 27160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27140 and 27160.

How to find the GCF of 27140 and 27160?

We will first find the prime factorization of 27140 and 27160. After we will calculate the factors of 27140 and 27160 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 27160

Prime factors of 27160 are 2, 5, 7, 97. Prime factorization of 27160 in exponential form is:

27160 = 2³ × 5¹ × 7¹ × 97¹

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 27160

List of positive integer factors of 27160 that divides 27140 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 97, 140, 194, 280, 388, 485, 679, 776, 970, 1358, 1940, 2716, 3395, 3880, 5432, 6790, 13580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27140 and 27160. The biggest common factor number is the GCF number.
So the greatest common factor 27140 and 27160 is 20.

Also check out the Least Common Multiple of 27140 and 27160