What is the Greatest Common Factor of 27056 and 27063?

Greatest common factor (GCF) of 27056 and 27063 is 1.

GCF(27056,27063) = 1

We will now calculate the prime factors of 27056 and 27063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27056 and 27063.

How to find the GCF of 27056 and 27063?

We will first find the prime factorization of 27056 and 27063. After we will calculate the factors of 27056 and 27063 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 27063

Prime factors of 27063 are 3, 31, 97. Prime factorization of 27063 in exponential form is:

27063 = 3² × 31¹ × 97¹

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 27063

List of positive integer factors of 27063 that divides 27056 without a remainder.

1, 3, 9, 31, 93, 97, 279, 291, 873, 3007, 9021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27056 and 27063. The biggest common factor number is the GCF number.
So the greatest common factor 27056 and 27063 is 1.

Also check out the Least Common Multiple of 27056 and 27063