What is the Greatest Common Factor of 57462 and 57478?

Greatest common factor (GCF) of 57462 and 57478 is 2.

GCF(57462,57478) = 2

We will now calculate the prime factors of 57462 and 57478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57462 and 57478.

How to find the GCF of 57462 and 57478?

We will first find the prime factorization of 57462 and 57478. After we will calculate the factors of 57462 and 57478 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 57478

Prime factors of 57478 are 2, 29, 991. Prime factorization of 57478 in exponential form is:

57478 = 2¹ × 29¹ × 991¹

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 57478

List of positive integer factors of 57478 that divides 57462 without a remainder.

1, 2, 29, 58, 991, 1982, 28739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57462 and 57478. The biggest common factor number is the GCF number.
So the greatest common factor 57462 and 57478 is 2.

Also check out the Least Common Multiple of 57462 and 57478