What is the Greatest Common Factor of 39746 and 39763?

Greatest common factor (GCF) of 39746 and 39763 is 17.

GCF(39746,39763) = 17

We will now calculate the prime factors of 39746 and 39763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39746 and 39763.

How to find the GCF of 39746 and 39763?

We will first find the prime factorization of 39746 and 39763. After we will calculate the factors of 39746 and 39763 and find the biggest common factor number .

Step-1: Prime Factorization of 39746

Prime factors of 39746 are 2, 7, 17, 167. Prime factorization of 39746 in exponential form is:

39746 = 2¹ × 7¹ × 17¹ × 167¹

Step-2: Prime Factorization of 39763

Prime factors of 39763 are 17, 2339. Prime factorization of 39763 in exponential form is:

39763 = 17¹ × 2339¹

Step-3: Factors of 39746

List of positive integer factors of 39746 that divides 39746 without a remainder.

1, 2, 7, 14, 17, 34, 119, 167, 238, 334, 1169, 2338, 2839, 5678, 19873

Step-4: Factors of 39763

List of positive integer factors of 39763 that divides 39746 without a remainder.

1, 17, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39746 and 39763. The biggest common factor number is the GCF number.
So the greatest common factor 39746 and 39763 is 17.

Also check out the Least Common Multiple of 39746 and 39763