What is the Greatest Common Factor of 41720 and 41727?

Greatest common factor (GCF) of 41720 and 41727 is 7.

GCF(41720,41727) = 7

We will now calculate the prime factors of 41720 and 41727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41720 and 41727.

How to find the GCF of 41720 and 41727?

We will first find the prime factorization of 41720 and 41727. After we will calculate the factors of 41720 and 41727 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 41727

Prime factors of 41727 are 3, 7, 1987. Prime factorization of 41727 in exponential form is:

41727 = 3¹ × 7¹ × 1987¹

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 41727

List of positive integer factors of 41727 that divides 41720 without a remainder.

1, 3, 7, 21, 1987, 5961, 13909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41720 and 41727. The biggest common factor number is the GCF number.
So the greatest common factor 41720 and 41727 is 7.

Also check out the Least Common Multiple of 41720 and 41727