What is the Greatest Common Factor of 41880 and 41896?

Greatest common factor (GCF) of 41880 and 41896 is 8.

GCF(41880,41896) = 8

We will now calculate the prime factors of 41880 and 41896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41880 and 41896.

How to find the GCF of 41880 and 41896?

We will first find the prime factorization of 41880 and 41896. After we will calculate the factors of 41880 and 41896 and find the biggest common factor number .

Step-1: Prime Factorization of 41880

Prime factors of 41880 are 2, 3, 5, 349. Prime factorization of 41880 in exponential form is:

41880 = 2³ × 3¹ × 5¹ × 349¹

Step-2: Prime Factorization of 41896

Prime factors of 41896 are 2, 5237. Prime factorization of 41896 in exponential form is:

41896 = 2³ × 5237¹

Step-3: Factors of 41880

List of positive integer factors of 41880 that divides 41880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 349, 698, 1047, 1396, 1745, 2094, 2792, 3490, 4188, 5235, 6980, 8376, 10470, 13960, 20940

Step-4: Factors of 41896

List of positive integer factors of 41896 that divides 41880 without a remainder.

1, 2, 4, 8, 5237, 10474, 20948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41880 and 41896. The biggest common factor number is the GCF number.
So the greatest common factor 41880 and 41896 is 8.

Also check out the Least Common Multiple of 41880 and 41896