What is the Greatest Common Factor of 27160 and 27179?

Greatest common factor (GCF) of 27160 and 27179 is 1.

GCF(27160,27179) = 1

We will now calculate the prime factors of 27160 and 27179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27160 and 27179.

How to find the GCF of 27160 and 27179?

We will first find the prime factorization of 27160 and 27179. After we will calculate the factors of 27160 and 27179 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27179

Prime factors of 27179 are 27179. Prime factorization of 27179 in exponential form is:

27179 = 27179¹

Step-3: Factors of 27160

List of positive integer factors of 27160 that divides 27160 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

Step-4: Factors of 27179

List of positive integer factors of 27179 that divides 27160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27160 and 27179. The biggest common factor number is the GCF number.
So the greatest common factor 27160 and 27179 is 1.

Also check out the Least Common Multiple of 27160 and 27179