What is the Greatest Common Factor of 39500 and 39510?

Greatest common factor (GCF) of 39500 and 39510 is 10.

GCF(39500,39510) = 10

We will now calculate the prime factors of 39500 and 39510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39500 and 39510.

How to find the GCF of 39500 and 39510?

We will first find the prime factorization of 39500 and 39510. After we will calculate the factors of 39500 and 39510 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 39510

Prime factors of 39510 are 2, 3, 5, 439. Prime factorization of 39510 in exponential form is:

39510 = 2¹ × 3² × 5¹ × 439¹

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 39510

List of positive integer factors of 39510 that divides 39500 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 439, 878, 1317, 2195, 2634, 3951, 4390, 6585, 7902, 13170, 19755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39500 and 39510. The biggest common factor number is the GCF number.
So the greatest common factor 39500 and 39510 is 10.

Also check out the Least Common Multiple of 39500 and 39510