What is the Greatest Common Factor of 27056 and 27067?

Greatest common factor (GCF) of 27056 and 27067 is 1.

GCF(27056,27067) = 1

We will now calculate the prime factors of 27056 and 27067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27056 and 27067.

How to find the GCF of 27056 and 27067?

We will first find the prime factorization of 27056 and 27067. After we will calculate the factors of 27056 and 27067 and find the biggest common factor number .

Step-1: Prime Factorization of 27056

Prime factors of 27056 are 2, 19, 89. Prime factorization of 27056 in exponential form is:

27056 = 2⁴ × 19¹ × 89¹

Step-2: Prime Factorization of 27067

Prime factors of 27067 are 27067. Prime factorization of 27067 in exponential form is:

27067 = 27067¹

Step-3: Factors of 27056

List of positive integer factors of 27056 that divides 27056 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 89, 152, 178, 304, 356, 712, 1424, 1691, 3382, 6764, 13528

Step-4: Factors of 27067

List of positive integer factors of 27067 that divides 27056 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27056 and 27067. The biggest common factor number is the GCF number.
So the greatest common factor 27056 and 27067 is 1.

Also check out the Least Common Multiple of 27056 and 27067