What is the Greatest Common Factor of 59405 and 59410?

Greatest common factor (GCF) of 59405 and 59410 is 5.

GCF(59405,59410) = 5

We will now calculate the prime factors of 59405 and 59410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59405 and 59410.

How to find the GCF of 59405 and 59410?

We will first find the prime factorization of 59405 and 59410. After we will calculate the factors of 59405 and 59410 and find the biggest common factor number .

Step-1: Prime Factorization of 59405

Prime factors of 59405 are 5, 109. Prime factorization of 59405 in exponential form is:

59405 = 5¹ × 109²

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 59405

List of positive integer factors of 59405 that divides 59405 without a remainder.

1, 5, 109, 545, 11881

Step-4: Factors of 59410

List of positive integer factors of 59410 that divides 59405 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 59405 and 59410. The biggest common factor number is the GCF number.
So the greatest common factor 59405 and 59410 is 5.

Also check out the Least Common Multiple of 59405 and 59410