What is the Greatest Common Factor of 57197 and 57211?

Greatest common factor (GCF) of 57197 and 57211 is 7.

GCF(57197,57211) = 7

We will now calculate the prime factors of 57197 and 57211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57197 and 57211.

How to find the GCF of 57197 and 57211?

We will first find the prime factorization of 57197 and 57211. After we will calculate the factors of 57197 and 57211 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 57211

Prime factors of 57211 are 7, 11, 743. Prime factorization of 57211 in exponential form is:

57211 = 7¹ × 11¹ × 743¹

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 57211

List of positive integer factors of 57211 that divides 57197 without a remainder.

1, 7, 11, 77, 743, 5201, 8173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57197 and 57211. The biggest common factor number is the GCF number.
So the greatest common factor 57197 and 57211 is 7.

Also check out the Least Common Multiple of 57197 and 57211