What is the Greatest Common Factor of 57213 and 57229?

Greatest common factor (GCF) of 57213 and 57229 is 1.

GCF(57213,57229) = 1

We will now calculate the prime factors of 57213 and 57229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57213 and 57229.

How to find the GCF of 57213 and 57229?

We will first find the prime factorization of 57213 and 57229. After we will calculate the factors of 57213 and 57229 and find the biggest common factor number .

Step-1: Prime Factorization of 57213

Prime factors of 57213 are 3, 13, 163. Prime factorization of 57213 in exponential form is:

57213 = 3³ × 13¹ × 163¹

Step-2: Prime Factorization of 57229

Prime factors of 57229 are 151, 379. Prime factorization of 57229 in exponential form is:

57229 = 151¹ × 379¹

Step-3: Factors of 57213

List of positive integer factors of 57213 that divides 57213 without a remainder.

1, 3, 9, 13, 27, 39, 117, 163, 351, 489, 1467, 2119, 4401, 6357, 19071

Step-4: Factors of 57229

List of positive integer factors of 57229 that divides 57213 without a remainder.

1, 151, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57213 and 57229. The biggest common factor number is the GCF number.
So the greatest common factor 57213 and 57229 is 1.

Also check out the Least Common Multiple of 57213 and 57229