What is the Greatest Common Factor of 36410 and 36421?

Greatest common factor (GCF) of 36410 and 36421 is 11.

GCF(36410,36421) = 11

We will now calculate the prime factors of 36410 and 36421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36410 and 36421.

How to find the GCF of 36410 and 36421?

We will first find the prime factorization of 36410 and 36421. After we will calculate the factors of 36410 and 36421 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 36421

Prime factors of 36421 are 7, 11, 43. Prime factorization of 36421 in exponential form is:

36421 = 7¹ × 11² × 43¹

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 36421

List of positive integer factors of 36421 that divides 36410 without a remainder.

1, 7, 11, 43, 77, 121, 301, 473, 847, 3311, 5203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36410 and 36421. The biggest common factor number is the GCF number.
So the greatest common factor 36410 and 36421 is 11.

Also check out the Least Common Multiple of 36410 and 36421