What is the Greatest Common Factor of 41875 and 41880?

Greatest common factor (GCF) of 41875 and 41880 is 5.

GCF(41875,41880) = 5

We will now calculate the prime factors of 41875 and 41880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41875 and 41880.

How to find the GCF of 41875 and 41880?

We will first find the prime factorization of 41875 and 41880. After we will calculate the factors of 41875 and 41880 and find the biggest common factor number .

Step-1: Prime Factorization of 41875

Prime factors of 41875 are 5, 67. Prime factorization of 41875 in exponential form is:

41875 = 5⁴ × 67¹

Step-2: 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-3: Factors of 41875

List of positive integer factors of 41875 that divides 41875 without a remainder.

1, 5, 25, 67, 125, 335, 625, 1675, 8375

Step-4: Factors of 41880

List of positive integer factors of 41880 that divides 41875 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41875 and 41880. The biggest common factor number is the GCF number.
So the greatest common factor 41875 and 41880 is 5.

Also check out the Least Common Multiple of 41875 and 41880