What is the Greatest Common Factor of 41720 and 41735?

Greatest common factor (GCF) of 41720 and 41735 is 5.

GCF(41720,41735) = 5

We will now calculate the prime factors of 41720 and 41735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41720 and 41735.

How to find the GCF of 41720 and 41735?

We will first find the prime factorization of 41720 and 41735. After we will calculate the factors of 41720 and 41735 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 41735

Prime factors of 41735 are 5, 17, 491. Prime factorization of 41735 in exponential form is:

41735 = 5¹ × 17¹ × 491¹

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 41735

List of positive integer factors of 41735 that divides 41720 without a remainder.

1, 5, 17, 85, 491, 2455, 8347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41720 and 41735. The biggest common factor number is the GCF number.
So the greatest common factor 41720 and 41735 is 5.

Also check out the Least Common Multiple of 41720 and 41735