What is the Greatest Common Factor of 57258 and 57263?

Greatest common factor (GCF) of 57258 and 57263 is 1.

GCF(57258,57263) = 1

We will now calculate the prime factors of 57258 and 57263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57258 and 57263.

How to find the GCF of 57258 and 57263?

We will first find the prime factorization of 57258 and 57263. After we will calculate the factors of 57258 and 57263 and find the biggest common factor number .

Step-1: Prime Factorization of 57258

Prime factors of 57258 are 2, 3, 3181. Prime factorization of 57258 in exponential form is:

57258 = 2¹ × 3² × 3181¹

Step-2: Prime Factorization of 57263

Prime factors of 57263 are 173, 331. Prime factorization of 57263 in exponential form is:

57263 = 173¹ × 331¹

Step-3: Factors of 57258

List of positive integer factors of 57258 that divides 57258 without a remainder.

1, 2, 3, 6, 9, 18, 3181, 6362, 9543, 19086, 28629

Step-4: Factors of 57263

List of positive integer factors of 57263 that divides 57258 without a remainder.

1, 173, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57258 and 57263. The biggest common factor number is the GCF number.
So the greatest common factor 57258 and 57263 is 1.

Also check out the Least Common Multiple of 57258 and 57263