What is the Greatest Common Factor of 27034 and 27052?

Greatest common factor (GCF) of 27034 and 27052 is 2.

GCF(27034,27052) = 2

We will now calculate the prime factors of 27034 and 27052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27034 and 27052.

How to find the GCF of 27034 and 27052?

We will first find the prime factorization of 27034 and 27052. After we will calculate the factors of 27034 and 27052 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 27052

Prime factors of 27052 are 2, 6763. Prime factorization of 27052 in exponential form is:

27052 = 2² × 6763¹

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 27052

List of positive integer factors of 27052 that divides 27034 without a remainder.

1, 2, 4, 6763, 13526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27034 and 27052. The biggest common factor number is the GCF number.
So the greatest common factor 27034 and 27052 is 2.

Also check out the Least Common Multiple of 27034 and 27052