What is the Greatest Common Factor of 36410 and 36420?

Greatest common factor (GCF) of 36410 and 36420 is 10.

GCF(36410,36420) = 10

We will now calculate the prime factors of 36410 and 36420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36410 and 36420.

How to find the GCF of 36410 and 36420?

We will first find the prime factorization of 36410 and 36420. After we will calculate the factors of 36410 and 36420 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36420

Prime factors of 36420 are 2, 3, 5, 607. Prime factorization of 36420 in exponential form is:

36420 = 2² × 3¹ × 5¹ × 607¹

Step-3: Factors of 36410

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

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

Step-4: Factors of 36420

List of positive integer factors of 36420 that divides 36410 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 607, 1214, 1821, 2428, 3035, 3642, 6070, 7284, 9105, 12140, 18210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36410 and 36420. The biggest common factor number is the GCF number.
So the greatest common factor 36410 and 36420 is 10.

Also check out the Least Common Multiple of 36410 and 36420