What is the Greatest Common Factor of 27034 and 27038?

Greatest common factor (GCF) of 27034 and 27038 is 2.

GCF(27034,27038) = 2

We will now calculate the prime factors of 27034 and 27038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27034 and 27038.

How to find the GCF of 27034 and 27038?

We will first find the prime factorization of 27034 and 27038. After we will calculate the factors of 27034 and 27038 and find the biggest common factor number .

Step-1: Prime Factorization of 27034

Prime factors of 27034 are 2, 7, 1931. Prime factorization of 27034 in exponential form is:

27034 = 2¹ × 7¹ × 1931¹

Step-2: 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-3: Factors of 27034

List of positive integer factors of 27034 that divides 27034 without a remainder.

1, 2, 7, 14, 1931, 3862, 13517

Step-4: Factors of 27038

List of positive integer factors of 27038 that divides 27034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27034 and 27038. The biggest common factor number is the GCF number.
So the greatest common factor 27034 and 27038 is 2.

Also check out the Least Common Multiple of 27034 and 27038