What is the Greatest Common Factor of 59397 and 59410?

Greatest common factor (GCF) of 59397 and 59410 is 13.

GCF(59397,59410) = 13

We will now calculate the prime factors of 59397 and 59410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59397 and 59410.

How to find the GCF of 59397 and 59410?

We will first find the prime factorization of 59397 and 59410. After we will calculate the factors of 59397 and 59410 and find the biggest common factor number .

Step-1: Prime Factorization of 59397

Prime factors of 59397 are 3, 13, 1523. Prime factorization of 59397 in exponential form is:

59397 = 3¹ × 13¹ × 1523¹

Step-2: Prime Factorization of 59410

Prime factors of 59410 are 2, 5, 13, 457. Prime factorization of 59410 in exponential form is:

59410 = 2¹ × 5¹ × 13¹ × 457¹

Step-3: Factors of 59397

List of positive integer factors of 59397 that divides 59397 without a remainder.

1, 3, 13, 39, 1523, 4569, 19799

Step-4: Factors of 59410

List of positive integer factors of 59410 that divides 59397 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 457, 914, 2285, 4570, 5941, 11882, 29705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59397 and 59410. The biggest common factor number is the GCF number.
So the greatest common factor 59397 and 59410 is 13.

Also check out the Least Common Multiple of 59397 and 59410