What is the Greatest Common Factor of 59235 and 59249?

Greatest common factor (GCF) of 59235 and 59249 is 1.

GCF(59235,59249) = 1

We will now calculate the prime factors of 59235 and 59249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59235 and 59249.

How to find the GCF of 59235 and 59249?

We will first find the prime factorization of 59235 and 59249. After we will calculate the factors of 59235 and 59249 and find the biggest common factor number .

Step-1: Prime Factorization of 59235

Prime factors of 59235 are 3, 5, 11, 359. Prime factorization of 59235 in exponential form is:

59235 = 3¹ × 5¹ × 11¹ × 359¹

Step-2: Prime Factorization of 59249

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

59249 = 179¹ × 331¹

Step-3: Factors of 59235

List of positive integer factors of 59235 that divides 59235 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 359, 1077, 1795, 3949, 5385, 11847, 19745

Step-4: Factors of 59249

List of positive integer factors of 59249 that divides 59235 without a remainder.

1, 179, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59235 and 59249. The biggest common factor number is the GCF number.
So the greatest common factor 59235 and 59249 is 1.

Also check out the Least Common Multiple of 59235 and 59249