What is the Greatest Common Factor of 41438 and 41456?

Greatest common factor (GCF) of 41438 and 41456 is 2.

GCF(41438,41456) = 2

We will now calculate the prime factors of 41438 and 41456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41438 and 41456.

How to find the GCF of 41438 and 41456?

We will first find the prime factorization of 41438 and 41456. After we will calculate the factors of 41438 and 41456 and find the biggest common factor number .

Step-1: Prime Factorization of 41438

Prime factors of 41438 are 2, 20719. Prime factorization of 41438 in exponential form is:

41438 = 2¹ × 20719¹

Step-2: Prime Factorization of 41456

Prime factors of 41456 are 2, 2591. Prime factorization of 41456 in exponential form is:

41456 = 2⁴ × 2591¹

Step-3: Factors of 41438

List of positive integer factors of 41438 that divides 41438 without a remainder.

1, 2, 20719

Step-4: Factors of 41456

List of positive integer factors of 41456 that divides 41438 without a remainder.

1, 2, 4, 8, 16, 2591, 5182, 10364, 20728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41438 and 41456. The biggest common factor number is the GCF number.
So the greatest common factor 41438 and 41456 is 2.

Also check out the Least Common Multiple of 41438 and 41456