What is the Greatest Common Factor of 39500 and 39506?

Greatest common factor (GCF) of 39500 and 39506 is 2.

GCF(39500,39506) = 2

We will now calculate the prime factors of 39500 and 39506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39500 and 39506.

How to find the GCF of 39500 and 39506?

We will first find the prime factorization of 39500 and 39506. After we will calculate the factors of 39500 and 39506 and find the biggest common factor number .

Step-1: Prime Factorization of 39500

Prime factors of 39500 are 2, 5, 79. Prime factorization of 39500 in exponential form is:

39500 = 2² × 5³ × 79¹

Step-2: Prime Factorization of 39506

Prime factors of 39506 are 2, 19753. Prime factorization of 39506 in exponential form is:

39506 = 2¹ × 19753¹

Step-3: Factors of 39500

List of positive integer factors of 39500 that divides 39500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 125, 158, 250, 316, 395, 500, 790, 1580, 1975, 3950, 7900, 9875, 19750

Step-4: Factors of 39506

List of positive integer factors of 39506 that divides 39500 without a remainder.

1, 2, 19753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39500 and 39506. The biggest common factor number is the GCF number.
So the greatest common factor 39500 and 39506 is 2.

Also check out the Least Common Multiple of 39500 and 39506