What is the Greatest Common Factor of 41706 and 41720?

Greatest common factor (GCF) of 41706 and 41720 is 14.

GCF(41706,41720) = 14

We will now calculate the prime factors of 41706 and 41720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41706 and 41720.

How to find the GCF of 41706 and 41720?

We will first find the prime factorization of 41706 and 41720. After we will calculate the factors of 41706 and 41720 and find the biggest common factor number .

Step-1: Prime Factorization of 41706

Prime factors of 41706 are 2, 3, 7, 331. Prime factorization of 41706 in exponential form is:

41706 = 2¹ × 3² × 7¹ × 331¹

Step-2: 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-3: Factors of 41706

List of positive integer factors of 41706 that divides 41706 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 331, 662, 993, 1986, 2317, 2979, 4634, 5958, 6951, 13902, 20853

Step-4: Factors of 41720

List of positive integer factors of 41720 that divides 41706 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41706 and 41720. The biggest common factor number is the GCF number.
So the greatest common factor 41706 and 41720 is 14.

Also check out the Least Common Multiple of 41706 and 41720