What is the Greatest Common Factor of 57414 and 57426?

Greatest common factor (GCF) of 57414 and 57426 is 6.

GCF(57414,57426) = 6

We will now calculate the prime factors of 57414 and 57426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57414 and 57426.

How to find the GCF of 57414 and 57426?

We will first find the prime factorization of 57414 and 57426. After we will calculate the factors of 57414 and 57426 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 57426

Prime factors of 57426 are 2, 3, 17, 563. Prime factorization of 57426 in exponential form is:

57426 = 2¹ × 3¹ × 17¹ × 563¹

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 57426

List of positive integer factors of 57426 that divides 57414 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 563, 1126, 1689, 3378, 9571, 19142, 28713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57414 and 57426. The biggest common factor number is the GCF number.
So the greatest common factor 57414 and 57426 is 6.

Also check out the Least Common Multiple of 57414 and 57426