What is the Greatest Common Factor of 27038 and 27046?

Greatest common factor (GCF) of 27038 and 27046 is 2.

GCF(27038,27046) = 2

We will now calculate the prime factors of 27038 and 27046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27038 and 27046.

How to find the GCF of 27038 and 27046?

We will first find the prime factorization of 27038 and 27046. After we will calculate the factors of 27038 and 27046 and find the biggest common factor number .

Step-1: Prime Factorization of 27038

Prime factors of 27038 are 2, 11, 1229. Prime factorization of 27038 in exponential form is:

27038 = 2¹ × 11¹ × 1229¹

Step-2: Prime Factorization of 27046

Prime factors of 27046 are 2, 13523. Prime factorization of 27046 in exponential form is:

27046 = 2¹ × 13523¹

Step-3: Factors of 27038

List of positive integer factors of 27038 that divides 27038 without a remainder.

1, 2, 11, 22, 1229, 2458, 13519

Step-4: Factors of 27046

List of positive integer factors of 27046 that divides 27038 without a remainder.

1, 2, 13523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27038 and 27046. The biggest common factor number is the GCF number.
So the greatest common factor 27038 and 27046 is 2.

Also check out the Least Common Multiple of 27038 and 27046