What is the Greatest Common Factor of 27034 and 27049?

Greatest common factor (GCF) of 27034 and 27049 is 1.

GCF(27034,27049) = 1

We will now calculate the prime factors of 27034 and 27049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27034 and 27049.

How to find the GCF of 27034 and 27049?

We will first find the prime factorization of 27034 and 27049. After we will calculate the factors of 27034 and 27049 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 27049

Prime factors of 27049 are 11, 2459. Prime factorization of 27049 in exponential form is:

27049 = 11¹ × 2459¹

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 27049

List of positive integer factors of 27049 that divides 27034 without a remainder.

1, 11, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27034 and 27049. The biggest common factor number is the GCF number.
So the greatest common factor 27034 and 27049 is 1.

Also check out the Least Common Multiple of 27034 and 27049