What is the Greatest Common Factor of 57462 and 57468?

Greatest common factor (GCF) of 57462 and 57468 is 6.

GCF(57462,57468) = 6

We will now calculate the prime factors of 57462 and 57468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57462 and 57468.

How to find the GCF of 57462 and 57468?

We will first find the prime factorization of 57462 and 57468. After we will calculate the factors of 57462 and 57468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57468

Prime factors of 57468 are 2, 3, 4789. Prime factorization of 57468 in exponential form is:

57468 = 2² × 3¹ × 4789¹

Step-3: Factors of 57462

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

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

Step-4: Factors of 57468

List of positive integer factors of 57468 that divides 57462 without a remainder.

1, 2, 3, 4, 6, 12, 4789, 9578, 14367, 19156, 28734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57462 and 57468. The biggest common factor number is the GCF number.
So the greatest common factor 57462 and 57468 is 6.

Also check out the Least Common Multiple of 57462 and 57468