What is the Greatest Common Factor of 57197 and 57204?

Greatest common factor (GCF) of 57197 and 57204 is 7.

GCF(57197,57204) = 7

We will now calculate the prime factors of 57197 and 57204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57197 and 57204.

How to find the GCF of 57197 and 57204?

We will first find the prime factorization of 57197 and 57204. After we will calculate the factors of 57197 and 57204 and find the biggest common factor number .

Step-1: Prime Factorization of 57197

Prime factors of 57197 are 7, 8171. Prime factorization of 57197 in exponential form is:

57197 = 7¹ × 8171¹

Step-2: Prime Factorization of 57204

Prime factors of 57204 are 2, 3, 7, 227. Prime factorization of 57204 in exponential form is:

57204 = 2² × 3² × 7¹ × 227¹

Step-3: Factors of 57197

List of positive integer factors of 57197 that divides 57197 without a remainder.

1, 7, 8171

Step-4: Factors of 57204

List of positive integer factors of 57204 that divides 57197 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 227, 252, 454, 681, 908, 1362, 1589, 2043, 2724, 3178, 4086, 4767, 6356, 8172, 9534, 14301, 19068, 28602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57197 and 57204. The biggest common factor number is the GCF number.
So the greatest common factor 57197 and 57204 is 7.

Also check out the Least Common Multiple of 57197 and 57204