What is the Greatest Common Factor of 57414 and 57422?

Greatest common factor (GCF) of 57414 and 57422 is 2.

GCF(57414,57422) = 2

We will now calculate the prime factors of 57414 and 57422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57414 and 57422.

How to find the GCF of 57414 and 57422?

We will first find the prime factorization of 57414 and 57422. After we will calculate the factors of 57414 and 57422 and find the biggest common factor number .

Step-1: Prime Factorization of 57414

Prime factors of 57414 are 2, 3, 7, 1367. Prime factorization of 57414 in exponential form is:

57414 = 2¹ × 3¹ × 7¹ × 1367¹

Step-2: Prime Factorization of 57422

Prime factors of 57422 are 2, 28711. Prime factorization of 57422 in exponential form is:

57422 = 2¹ × 28711¹

Step-3: Factors of 57414

List of positive integer factors of 57414 that divides 57414 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1367, 2734, 4101, 8202, 9569, 19138, 28707

Step-4: Factors of 57422

List of positive integer factors of 57422 that divides 57414 without a remainder.

1, 2, 28711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57414 and 57422. The biggest common factor number is the GCF number.
So the greatest common factor 57414 and 57422 is 2.

Also check out the Least Common Multiple of 57414 and 57422