What is the Greatest Common Factor of 57648 and 57658?

Greatest common factor (GCF) of 57648 and 57658 is 2.

GCF(57648,57658) = 2

We will now calculate the prime factors of 57648 and 57658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57648 and 57658.

How to find the GCF of 57648 and 57658?

We will first find the prime factorization of 57648 and 57658. After we will calculate the factors of 57648 and 57658 and find the biggest common factor number .

Step-1: Prime Factorization of 57648

Prime factors of 57648 are 2, 3, 1201. Prime factorization of 57648 in exponential form is:

57648 = 2⁴ × 3¹ × 1201¹

Step-2: Prime Factorization of 57658

Prime factors of 57658 are 2, 127, 227. Prime factorization of 57658 in exponential form is:

57658 = 2¹ × 127¹ × 227¹

Step-3: Factors of 57648

List of positive integer factors of 57648 that divides 57648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1201, 2402, 3603, 4804, 7206, 9608, 14412, 19216, 28824

Step-4: Factors of 57658

List of positive integer factors of 57658 that divides 57648 without a remainder.

1, 2, 127, 227, 254, 454, 28829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57648 and 57658. The biggest common factor number is the GCF number.
So the greatest common factor 57648 and 57658 is 2.

Also check out the Least Common Multiple of 57648 and 57658