What is the Greatest Common Factor of 36405 and 36410?

Greatest common factor (GCF) of 36405 and 36410 is 5.

GCF(36405,36410) = 5

We will now calculate the prime factors of 36405 and 36410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36405 and 36410.

How to find the GCF of 36405 and 36410?

We will first find the prime factorization of 36405 and 36410. After we will calculate the factors of 36405 and 36410 and find the biggest common factor number .

Step-1: Prime Factorization of 36405

Prime factors of 36405 are 3, 5, 809. Prime factorization of 36405 in exponential form is:

36405 = 3² × 5¹ × 809¹

Step-2: Prime Factorization of 36410

Prime factors of 36410 are 2, 5, 11, 331. Prime factorization of 36410 in exponential form is:

36410 = 2¹ × 5¹ × 11¹ × 331¹

Step-3: Factors of 36405

List of positive integer factors of 36405 that divides 36405 without a remainder.

1, 3, 5, 9, 15, 45, 809, 2427, 4045, 7281, 12135

Step-4: Factors of 36410

List of positive integer factors of 36410 that divides 36405 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 331, 662, 1655, 3310, 3641, 7282, 18205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36405 and 36410. The biggest common factor number is the GCF number.
So the greatest common factor 36405 and 36410 is 5.

Also check out the Least Common Multiple of 36405 and 36410