What is the Greatest Common Factor of 41456 and 41476?

Greatest common factor (GCF) of 41456 and 41476 is 4.

GCF(41456,41476) = 4

We will now calculate the prime factors of 41456 and 41476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41456 and 41476.

How to find the GCF of 41456 and 41476?

We will first find the prime factorization of 41456 and 41476. After we will calculate the factors of 41456 and 41476 and find the biggest common factor number .

Step-1: Prime Factorization of 41456

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

41456 = 2⁴ × 2591¹

Step-2: Prime Factorization of 41476

Prime factors of 41476 are 2, 10369. Prime factorization of 41476 in exponential form is:

41476 = 2² × 10369¹

Step-3: Factors of 41456

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

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

Step-4: Factors of 41476

List of positive integer factors of 41476 that divides 41456 without a remainder.

1, 2, 4, 10369, 20738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41456 and 41476. The biggest common factor number is the GCF number.
So the greatest common factor 41456 and 41476 is 4.

Also check out the Least Common Multiple of 41456 and 41476