What is the Greatest Common Factor of 39500 and 39507?

Greatest common factor (GCF) of 39500 and 39507 is 1.

GCF(39500,39507) = 1

We will now calculate the prime factors of 39500 and 39507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39500 and 39507.

How to find the GCF of 39500 and 39507?

We will first find the prime factorization of 39500 and 39507. After we will calculate the factors of 39500 and 39507 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 39507

Prime factors of 39507 are 3, 13, 1013. Prime factorization of 39507 in exponential form is:

39507 = 3¹ × 13¹ × 1013¹

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 39507

List of positive integer factors of 39507 that divides 39500 without a remainder.

1, 3, 13, 39, 1013, 3039, 13169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39500 and 39507. The biggest common factor number is the GCF number.
So the greatest common factor 39500 and 39507 is 1.

Also check out the Least Common Multiple of 39500 and 39507