What is the Greatest Common Factor of 57209 and 57228?

Greatest common factor (GCF) of 57209 and 57228 is 19.

GCF(57209,57228) = 19

We will now calculate the prime factors of 57209 and 57228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57209 and 57228.

How to find the GCF of 57209 and 57228?

We will first find the prime factorization of 57209 and 57228. After we will calculate the factors of 57209 and 57228 and find the biggest common factor number .

Step-1: Prime Factorization of 57209

Prime factors of 57209 are 19, 3011. Prime factorization of 57209 in exponential form is:

57209 = 19¹ × 3011¹

Step-2: 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-3: Factors of 57209

List of positive integer factors of 57209 that divides 57209 without a remainder.

1, 19, 3011

Step-4: Factors of 57228

List of positive integer factors of 57228 that divides 57209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57209 and 57228. The biggest common factor number is the GCF number.
So the greatest common factor 57209 and 57228 is 19.

Also check out the Least Common Multiple of 57209 and 57228