What is the Greatest Common Factor of 41362 and 41368?

Greatest common factor (GCF) of 41362 and 41368 is 2.

GCF(41362,41368) = 2

We will now calculate the prime factors of 41362 and 41368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41362 and 41368.

How to find the GCF of 41362 and 41368?

We will first find the prime factorization of 41362 and 41368. After we will calculate the factors of 41362 and 41368 and find the biggest common factor number .

Step-1: Prime Factorization of 41362

Prime factors of 41362 are 2, 20681. Prime factorization of 41362 in exponential form is:

41362 = 2¹ × 20681¹

Step-2: Prime Factorization of 41368

Prime factors of 41368 are 2, 5171. Prime factorization of 41368 in exponential form is:

41368 = 2³ × 5171¹

Step-3: Factors of 41362

List of positive integer factors of 41362 that divides 41362 without a remainder.

1, 2, 20681

Step-4: Factors of 41368

List of positive integer factors of 41368 that divides 41362 without a remainder.

1, 2, 4, 8, 5171, 10342, 20684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41362 and 41368. The biggest common factor number is the GCF number.
So the greatest common factor 41362 and 41368 is 2.

Also check out the Least Common Multiple of 41362 and 41368