What is the Greatest Common Factor of 39494 and 39502?

Greatest common factor (GCF) of 39494 and 39502 is 2.

GCF(39494,39502) = 2

We will now calculate the prime factors of 39494 and 39502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39494 and 39502.

How to find the GCF of 39494 and 39502?

We will first find the prime factorization of 39494 and 39502. After we will calculate the factors of 39494 and 39502 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39502

Prime factors of 39502 are 2, 19751. Prime factorization of 39502 in exponential form is:

39502 = 2¹ × 19751¹

Step-3: Factors of 39494

List of positive integer factors of 39494 that divides 39494 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

Step-4: Factors of 39502

List of positive integer factors of 39502 that divides 39494 without a remainder.

1, 2, 19751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39494 and 39502. The biggest common factor number is the GCF number.
So the greatest common factor 39494 and 39502 is 2.

Also check out the Least Common Multiple of 39494 and 39502