What is the Greatest Common Factor of 59218 and 59235?

Greatest common factor (GCF) of 59218 and 59235 is 1.

GCF(59218,59235) = 1

We will now calculate the prime factors of 59218 and 59235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59218 and 59235.

How to find the GCF of 59218 and 59235?

We will first find the prime factorization of 59218 and 59235. After we will calculate the factors of 59218 and 59235 and find the biggest common factor number .

Step-1: Prime Factorization of 59218

Prime factors of 59218 are 2, 29, 1021. Prime factorization of 59218 in exponential form is:

59218 = 2¹ × 29¹ × 1021¹

Step-2: 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-3: Factors of 59218

List of positive integer factors of 59218 that divides 59218 without a remainder.

1, 2, 29, 58, 1021, 2042, 29609

Step-4: Factors of 59235

List of positive integer factors of 59235 that divides 59218 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59218 and 59235. The biggest common factor number is the GCF number.
So the greatest common factor 59218 and 59235 is 1.

Also check out the Least Common Multiple of 59218 and 59235