What is the Greatest Common Factor of 57228 and 57241?

Greatest common factor (GCF) of 57228 and 57241 is 1.

GCF(57228,57241) = 1

We will now calculate the prime factors of 57228 and 57241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57228 and 57241.

How to find the GCF of 57228 and 57241?

We will first find the prime factorization of 57228 and 57241. After we will calculate the factors of 57228 and 57241 and find the biggest common factor number .

Step-1: Prime Factorization of 57228

Prime factors of 57228 are 2, 3, 19, 251. Prime factorization of 57228 in exponential form is:

57228 = 2² × 3¹ × 19¹ × 251¹

Step-2: Prime Factorization of 57241

Prime factors of 57241 are 57241. Prime factorization of 57241 in exponential form is:

57241 = 57241¹

Step-3: Factors of 57228

List of positive integer factors of 57228 that divides 57228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 251, 502, 753, 1004, 1506, 3012, 4769, 9538, 14307, 19076, 28614

Step-4: Factors of 57241

List of positive integer factors of 57241 that divides 57228 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57228 and 57241. The biggest common factor number is the GCF number.
So the greatest common factor 57228 and 57241 is 1.

Also check out the Least Common Multiple of 57228 and 57241