What is the Greatest Common Factor of 41342 and 41356?

Greatest common factor (GCF) of 41342 and 41356 is 14.

GCF(41342,41356) = 14

We will now calculate the prime factors of 41342 and 41356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41342 and 41356.

How to find the GCF of 41342 and 41356?

We will first find the prime factorization of 41342 and 41356. After we will calculate the factors of 41342 and 41356 and find the biggest common factor number .

Step-1: Prime Factorization of 41342

Prime factors of 41342 are 2, 7, 2953. Prime factorization of 41342 in exponential form is:

41342 = 2¹ × 7¹ × 2953¹

Step-2: Prime Factorization of 41356

Prime factors of 41356 are 2, 7, 211. Prime factorization of 41356 in exponential form is:

41356 = 2² × 7² × 211¹

Step-3: Factors of 41342

List of positive integer factors of 41342 that divides 41342 without a remainder.

1, 2, 7, 14, 2953, 5906, 20671

Step-4: Factors of 41356

List of positive integer factors of 41356 that divides 41342 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 211, 422, 844, 1477, 2954, 5908, 10339, 20678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41342 and 41356. The biggest common factor number is the GCF number.
So the greatest common factor 41342 and 41356 is 14.

Also check out the Least Common Multiple of 41342 and 41356