What is the Greatest Common Factor of 41720 and 41731?

Greatest common factor (GCF) of 41720 and 41731 is 1.

GCF(41720,41731) = 1

We will now calculate the prime factors of 41720 and 41731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41720 and 41731.

How to find the GCF of 41720 and 41731?

We will first find the prime factorization of 41720 and 41731. After we will calculate the factors of 41720 and 41731 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 41731

Prime factors of 41731 are 29, 1439. Prime factorization of 41731 in exponential form is:

41731 = 29¹ × 1439¹

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 41731

List of positive integer factors of 41731 that divides 41720 without a remainder.

1, 29, 1439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41720 and 41731. The biggest common factor number is the GCF number.
So the greatest common factor 41720 and 41731 is 1.

Also check out the Least Common Multiple of 41720 and 41731