What is the Greatest Common Factor of 27002 and 27008?

Greatest common factor (GCF) of 27002 and 27008 is 2.

GCF(27002,27008) = 2

We will now calculate the prime factors of 27002 and 27008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27002 and 27008.

How to find the GCF of 27002 and 27008?

We will first find the prime factorization of 27002 and 27008. After we will calculate the factors of 27002 and 27008 and find the biggest common factor number .

Step-1: Prime Factorization of 27002

Prime factors of 27002 are 2, 23, 587. Prime factorization of 27002 in exponential form is:

27002 = 2¹ × 23¹ × 587¹

Step-2: Prime Factorization of 27008

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

27008 = 2⁷ × 211¹

Step-3: Factors of 27002

List of positive integer factors of 27002 that divides 27002 without a remainder.

1, 2, 23, 46, 587, 1174, 13501

Step-4: Factors of 27008

List of positive integer factors of 27008 that divides 27002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27002 and 27008. The biggest common factor number is the GCF number.
So the greatest common factor 27002 and 27008 is 2.

Also check out the Least Common Multiple of 27002 and 27008