What is the Greatest Common Factor of 41920 and 41938?

Greatest common factor (GCF) of 41920 and 41938 is 2.

GCF(41920,41938) = 2

We will now calculate the prime factors of 41920 and 41938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41920 and 41938.

How to find the GCF of 41920 and 41938?

We will first find the prime factorization of 41920 and 41938. After we will calculate the factors of 41920 and 41938 and find the biggest common factor number .

Step-1: Prime Factorization of 41920

Prime factors of 41920 are 2, 5, 131. Prime factorization of 41920 in exponential form is:

41920 = 2⁶ × 5¹ × 131¹

Step-2: Prime Factorization of 41938

Prime factors of 41938 are 2, 13, 1613. Prime factorization of 41938 in exponential form is:

41938 = 2¹ × 13¹ × 1613¹

Step-3: Factors of 41920

List of positive integer factors of 41920 that divides 41920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 131, 160, 262, 320, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 20960

Step-4: Factors of 41938

List of positive integer factors of 41938 that divides 41920 without a remainder.

1, 2, 13, 26, 1613, 3226, 20969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41920 and 41938. The biggest common factor number is the GCF number.
So the greatest common factor 41920 and 41938 is 2.

Also check out the Least Common Multiple of 41920 and 41938