What is the Greatest Common Factor of 41420 and 41438?

Greatest common factor (GCF) of 41420 and 41438 is 2.

GCF(41420,41438) = 2

We will now calculate the prime factors of 41420 and 41438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41420 and 41438.

How to find the GCF of 41420 and 41438?

We will first find the prime factorization of 41420 and 41438. After we will calculate the factors of 41420 and 41438 and find the biggest common factor number .

Step-1: Prime Factorization of 41420

Prime factors of 41420 are 2, 5, 19, 109. Prime factorization of 41420 in exponential form is:

41420 = 2² × 5¹ × 19¹ × 109¹

Step-2: Prime Factorization of 41438

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

41438 = 2¹ × 20719¹

Step-3: Factors of 41420

List of positive integer factors of 41420 that divides 41420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 109, 190, 218, 380, 436, 545, 1090, 2071, 2180, 4142, 8284, 10355, 20710

Step-4: Factors of 41438

List of positive integer factors of 41438 that divides 41420 without a remainder.

1, 2, 20719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41420 and 41438. The biggest common factor number is the GCF number.
So the greatest common factor 41420 and 41438 is 2.

Also check out the Least Common Multiple of 41420 and 41438