What is the Greatest Common Factor of 27008 and 27023?

Greatest common factor (GCF) of 27008 and 27023 is 1.

GCF(27008,27023) = 1

We will now calculate the prime factors of 27008 and 27023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27008 and 27023.

How to find the GCF of 27008 and 27023?

We will first find the prime factorization of 27008 and 27023. After we will calculate the factors of 27008 and 27023 and find the biggest common factor number .

Step-1: Prime Factorization of 27008

Prime factors of 27008 are 2, 211. Prime factorization of 27008 in exponential form is:

27008 = 2⁷ × 211¹

Step-2: Prime Factorization of 27023

Prime factors of 27023 are 61, 443. Prime factorization of 27023 in exponential form is:

27023 = 61¹ × 443¹

Step-3: Factors of 27008

List of positive integer factors of 27008 that divides 27008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504

Step-4: Factors of 27023

List of positive integer factors of 27023 that divides 27008 without a remainder.

1, 61, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27008 and 27023. The biggest common factor number is the GCF number.
So the greatest common factor 27008 and 27023 is 1.

Also check out the Least Common Multiple of 27008 and 27023