What is the Greatest Common Factor of 27136 and 27142?

Greatest common factor (GCF) of 27136 and 27142 is 2.

GCF(27136,27142) = 2

We will now calculate the prime factors of 27136 and 27142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27136 and 27142.

How to find the GCF of 27136 and 27142?

We will first find the prime factorization of 27136 and 27142. After we will calculate the factors of 27136 and 27142 and find the biggest common factor number .

Step-1: Prime Factorization of 27136

Prime factors of 27136 are 2, 53. Prime factorization of 27136 in exponential form is:

27136 = 2⁹ × 53¹

Step-2: Prime Factorization of 27142

Prime factors of 27142 are 2, 41, 331. Prime factorization of 27142 in exponential form is:

27142 = 2¹ × 41¹ × 331¹

Step-3: Factors of 27136

List of positive integer factors of 27136 that divides 27136 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1696, 3392, 6784, 13568

Step-4: Factors of 27142

List of positive integer factors of 27142 that divides 27136 without a remainder.

1, 2, 41, 82, 331, 662, 13571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27136 and 27142. The biggest common factor number is the GCF number.
So the greatest common factor 27136 and 27142 is 2.

Also check out the Least Common Multiple of 27136 and 27142