What is the Greatest Common Factor of 41344 and 41362?

Greatest common factor (GCF) of 41344 and 41362 is 2.

GCF(41344,41362) = 2

We will now calculate the prime factors of 41344 and 41362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41344 and 41362.

How to find the GCF of 41344 and 41362?

We will first find the prime factorization of 41344 and 41362. After we will calculate the factors of 41344 and 41362 and find the biggest common factor number .

Step-1: Prime Factorization of 41344

Prime factors of 41344 are 2, 17, 19. Prime factorization of 41344 in exponential form is:

41344 = 2⁷ × 17¹ × 19¹

Step-2: Prime Factorization of 41362

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

41362 = 2¹ × 20681¹

Step-3: Factors of 41344

List of positive integer factors of 41344 that divides 41344 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2176, 2432, 2584, 5168, 10336, 20672

Step-4: Factors of 41362

List of positive integer factors of 41362 that divides 41344 without a remainder.

1, 2, 20681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41344 and 41362. The biggest common factor number is the GCF number.
So the greatest common factor 41344 and 41362 is 2.

Also check out the Least Common Multiple of 41344 and 41362