What is the Greatest Common Factor of 27406 and 27414?

Greatest common factor (GCF) of 27406 and 27414 is 2.

GCF(27406,27414) = 2

We will now calculate the prime factors of 27406 and 27414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27406 and 27414.

How to find the GCF of 27406 and 27414?

We will first find the prime factorization of 27406 and 27414. After we will calculate the factors of 27406 and 27414 and find the biggest common factor number .

Step-1: Prime Factorization of 27406

Prime factors of 27406 are 2, 71, 193. Prime factorization of 27406 in exponential form is:

27406 = 2¹ × 71¹ × 193¹

Step-2: Prime Factorization of 27414

Prime factors of 27414 are 2, 3, 1523. Prime factorization of 27414 in exponential form is:

27414 = 2¹ × 3² × 1523¹

Step-3: Factors of 27406

List of positive integer factors of 27406 that divides 27406 without a remainder.

1, 2, 71, 142, 193, 386, 13703

Step-4: Factors of 27414

List of positive integer factors of 27414 that divides 27406 without a remainder.

1, 2, 3, 6, 9, 18, 1523, 3046, 4569, 9138, 13707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27406 and 27414. The biggest common factor number is the GCF number.
So the greatest common factor 27406 and 27414 is 2.

Also check out the Least Common Multiple of 27406 and 27414