What is the Greatest Common Factor of 41912 and 41920?

Greatest common factor (GCF) of 41912 and 41920 is 8.

GCF(41912,41920) = 8

We will now calculate the prime factors of 41912 and 41920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41912 and 41920.

How to find the GCF of 41912 and 41920?

We will first find the prime factorization of 41912 and 41920. After we will calculate the factors of 41912 and 41920 and find the biggest common factor number .

Step-1: Prime Factorization of 41912

Prime factors of 41912 are 2, 13, 31. Prime factorization of 41912 in exponential form is:

41912 = 2³ × 13² × 31¹

Step-2: 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-3: Factors of 41912

List of positive integer factors of 41912 that divides 41912 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 169, 248, 338, 403, 676, 806, 1352, 1612, 3224, 5239, 10478, 20956

Step-4: Factors of 41920

List of positive integer factors of 41920 that divides 41912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41912 and 41920. The biggest common factor number is the GCF number.
So the greatest common factor 41912 and 41920 is 8.

Also check out the Least Common Multiple of 41912 and 41920