What is the Greatest Common Factor of 59249 and 59257?

Greatest common factor (GCF) of 59249 and 59257 is 1.

GCF(59249,59257) = 1

We will now calculate the prime factors of 59249 and 59257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59249 and 59257.

How to find the GCF of 59249 and 59257?

We will first find the prime factorization of 59249 and 59257. After we will calculate the factors of 59249 and 59257 and find the biggest common factor number .

Step-1: Prime Factorization of 59249

Prime factors of 59249 are 179, 331. Prime factorization of 59249 in exponential form is:

59249 = 179¹ × 331¹

Step-2: Prime Factorization of 59257

Prime factors of 59257 are 11, 5387. Prime factorization of 59257 in exponential form is:

59257 = 11¹ × 5387¹

Step-3: Factors of 59249

List of positive integer factors of 59249 that divides 59249 without a remainder.

1, 179, 331

Step-4: Factors of 59257

List of positive integer factors of 59257 that divides 59249 without a remainder.

1, 11, 5387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59249 and 59257. The biggest common factor number is the GCF number.
So the greatest common factor 59249 and 59257 is 1.

Also check out the Least Common Multiple of 59249 and 59257