What is the Greatest Common Factor of 39481 and 39494?

Greatest common factor (GCF) of 39481 and 39494 is 13.

GCF(39481,39494) = 13

We will now calculate the prime factors of 39481 and 39494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39481 and 39494.

How to find the GCF of 39481 and 39494?

We will first find the prime factorization of 39481 and 39494. After we will calculate the factors of 39481 and 39494 and find the biggest common factor number .

Step-1: Prime Factorization of 39481

Prime factors of 39481 are 13, 3037. Prime factorization of 39481 in exponential form is:

39481 = 13¹ × 3037¹

Step-2: Prime Factorization of 39494

Prime factors of 39494 are 2, 7, 13, 31. Prime factorization of 39494 in exponential form is:

39494 = 2¹ × 7² × 13¹ × 31¹

Step-3: Factors of 39481

List of positive integer factors of 39481 that divides 39481 without a remainder.

1, 13, 3037

Step-4: Factors of 39494

List of positive integer factors of 39494 that divides 39481 without a remainder.

1, 2, 7, 13, 14, 26, 31, 49, 62, 91, 98, 182, 217, 403, 434, 637, 806, 1274, 1519, 2821, 3038, 5642, 19747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39481 and 39494. The biggest common factor number is the GCF number.
So the greatest common factor 39481 and 39494 is 13.

Also check out the Least Common Multiple of 39481 and 39494