What is the Greatest Common Factor of 41880 and 41885?

Greatest common factor (GCF) of 41880 and 41885 is 5.

GCF(41880,41885) = 5

We will now calculate the prime factors of 41880 and 41885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41880 and 41885.

How to find the GCF of 41880 and 41885?

We will first find the prime factorization of 41880 and 41885. After we will calculate the factors of 41880 and 41885 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 41885

Prime factors of 41885 are 5, 8377. Prime factorization of 41885 in exponential form is:

41885 = 5¹ × 8377¹

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 41885

List of positive integer factors of 41885 that divides 41880 without a remainder.

1, 5, 8377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41880 and 41885. The biggest common factor number is the GCF number.
So the greatest common factor 41880 and 41885 is 5.

Also check out the Least Common Multiple of 41880 and 41885