What is the Greatest Common Factor of 57414 and 57428?

Greatest common factor (GCF) of 57414 and 57428 is 14.

GCF(57414,57428) = 14

We will now calculate the prime factors of 57414 and 57428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57414 and 57428.

How to find the GCF of 57414 and 57428?

We will first find the prime factorization of 57414 and 57428. After we will calculate the factors of 57414 and 57428 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 57428

Prime factors of 57428 are 2, 7, 293. Prime factorization of 57428 in exponential form is:

57428 = 2² × 7² × 293¹

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 57428

List of positive integer factors of 57428 that divides 57414 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 293, 586, 1172, 2051, 4102, 8204, 14357, 28714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57414 and 57428. The biggest common factor number is the GCF number.
So the greatest common factor 57414 and 57428 is 14.

Also check out the Least Common Multiple of 57414 and 57428