What is the Greatest Common Factor of 57454 and 57462?

Greatest common factor (GCF) of 57454 and 57462 is 2.

GCF(57454,57462) = 2

We will now calculate the prime factors of 57454 and 57462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57454 and 57462.

How to find the GCF of 57454 and 57462?

We will first find the prime factorization of 57454 and 57462. After we will calculate the factors of 57454 and 57462 and find the biggest common factor number .

Step-1: Prime Factorization of 57454

Prime factors of 57454 are 2, 23, 1249. Prime factorization of 57454 in exponential form is:

57454 = 2¹ × 23¹ × 1249¹

Step-2: Prime Factorization of 57462

Prime factors of 57462 are 2, 3, 61, 157. Prime factorization of 57462 in exponential form is:

57462 = 2¹ × 3¹ × 61¹ × 157¹

Step-3: Factors of 57454

List of positive integer factors of 57454 that divides 57454 without a remainder.

1, 2, 23, 46, 1249, 2498, 28727

Step-4: Factors of 57462

List of positive integer factors of 57462 that divides 57454 without a remainder.

1, 2, 3, 6, 61, 122, 157, 183, 314, 366, 471, 942, 9577, 19154, 28731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57454 and 57462. The biggest common factor number is the GCF number.
So the greatest common factor 57454 and 57462 is 2.

Also check out the Least Common Multiple of 57454 and 57462