What is the Greatest Common Factor of 41706 and 41713?

Greatest common factor (GCF) of 41706 and 41713 is 7.

GCF(41706,41713) = 7

We will now calculate the prime factors of 41706 and 41713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41706 and 41713.

How to find the GCF of 41706 and 41713?

We will first find the prime factorization of 41706 and 41713. After we will calculate the factors of 41706 and 41713 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 41713

Prime factors of 41713 are 7, 59, 101. Prime factorization of 41713 in exponential form is:

41713 = 7¹ × 59¹ × 101¹

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 41713

List of positive integer factors of 41713 that divides 41706 without a remainder.

1, 7, 59, 101, 413, 707, 5959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41706 and 41713. The biggest common factor number is the GCF number.
So the greatest common factor 41706 and 41713 is 7.

Also check out the Least Common Multiple of 41706 and 41713