What is the Greatest Common Factor of 57048 and 57066?

Greatest common factor (GCF) of 57048 and 57066 is 6.

GCF(57048,57066) = 6

We will now calculate the prime factors of 57048 and 57066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57048 and 57066.

How to find the GCF of 57048 and 57066?

We will first find the prime factorization of 57048 and 57066. After we will calculate the factors of 57048 and 57066 and find the biggest common factor number .

Step-1: Prime Factorization of 57048

Prime factors of 57048 are 2, 3, 2377. Prime factorization of 57048 in exponential form is:

57048 = 2³ × 3¹ × 2377¹

Step-2: Prime Factorization of 57066

Prime factors of 57066 are 2, 3, 9511. Prime factorization of 57066 in exponential form is:

57066 = 2¹ × 3¹ × 9511¹

Step-3: Factors of 57048

List of positive integer factors of 57048 that divides 57048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2377, 4754, 7131, 9508, 14262, 19016, 28524

Step-4: Factors of 57066

List of positive integer factors of 57066 that divides 57048 without a remainder.

1, 2, 3, 6, 9511, 19022, 28533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57048 and 57066. The biggest common factor number is the GCF number.
So the greatest common factor 57048 and 57066 is 6.

Also check out the Least Common Multiple of 57048 and 57066