What is the Greatest Common Factor of 57414 and 57432?

Greatest common factor (GCF) of 57414 and 57432 is 6.

GCF(57414,57432) = 6

We will now calculate the prime factors of 57414 and 57432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57414 and 57432.

How to find the GCF of 57414 and 57432?

We will first find the prime factorization of 57414 and 57432. After we will calculate the factors of 57414 and 57432 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 57432

Prime factors of 57432 are 2, 3, 2393. Prime factorization of 57432 in exponential form is:

57432 = 2³ × 3¹ × 2393¹

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 57432

List of positive integer factors of 57432 that divides 57414 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2393, 4786, 7179, 9572, 14358, 19144, 28716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57414 and 57432. The biggest common factor number is the GCF number.
So the greatest common factor 57414 and 57432 is 6.

Also check out the Least Common Multiple of 57414 and 57432