What is the Greatest Common Factor of 41720 and 41725?

Greatest common factor (GCF) of 41720 and 41725 is 5.

GCF(41720,41725) = 5

We will now calculate the prime factors of 41720 and 41725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41720 and 41725.

How to find the GCF of 41720 and 41725?

We will first find the prime factorization of 41720 and 41725. After we will calculate the factors of 41720 and 41725 and find the biggest common factor number .

Step-1: Prime Factorization of 41720

Prime factors of 41720 are 2, 5, 7, 149. Prime factorization of 41720 in exponential form is:

41720 = 2³ × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 41725

Prime factors of 41725 are 5, 1669. Prime factorization of 41725 in exponential form is:

41725 = 5² × 1669¹

Step-3: Factors of 41720

List of positive integer factors of 41720 that divides 41720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 149, 280, 298, 596, 745, 1043, 1192, 1490, 2086, 2980, 4172, 5215, 5960, 8344, 10430, 20860

Step-4: Factors of 41725

List of positive integer factors of 41725 that divides 41720 without a remainder.

1, 5, 25, 1669, 8345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41720 and 41725. The biggest common factor number is the GCF number.
So the greatest common factor 41720 and 41725 is 5.

Also check out the Least Common Multiple of 41720 and 41725