What is the Greatest Common Factor of 27146 and 27160?

Greatest common factor (GCF) of 27146 and 27160 is 14.

GCF(27146,27160) = 14

We will now calculate the prime factors of 27146 and 27160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27146 and 27160.

How to find the GCF of 27146 and 27160?

We will first find the prime factorization of 27146 and 27160. After we will calculate the factors of 27146 and 27160 and find the biggest common factor number .

Step-1: Prime Factorization of 27146

Prime factors of 27146 are 2, 7, 277. Prime factorization of 27146 in exponential form is:

27146 = 2¹ × 7² × 277¹

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 27146

List of positive integer factors of 27146 that divides 27146 without a remainder.

1, 2, 7, 14, 49, 98, 277, 554, 1939, 3878, 13573

Step-4: Factors of 27160

List of positive integer factors of 27160 that divides 27146 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 27146 and 27160. The biggest common factor number is the GCF number.
So the greatest common factor 27146 and 27160 is 14.

Also check out the Least Common Multiple of 27146 and 27160