What is the Greatest Common Factor of 39645 and 39650?

Greatest common factor (GCF) of 39645 and 39650 is 5.

GCF(39645,39650) = 5

We will now calculate the prime factors of 39645 and 39650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39645 and 39650.

How to find the GCF of 39645 and 39650?

We will first find the prime factorization of 39645 and 39650. After we will calculate the factors of 39645 and 39650 and find the biggest common factor number .

Step-1: Prime Factorization of 39645

Prime factors of 39645 are 3, 5, 881. Prime factorization of 39645 in exponential form is:

39645 = 3² × 5¹ × 881¹

Step-2: Prime Factorization of 39650

Prime factors of 39650 are 2, 5, 13, 61. Prime factorization of 39650 in exponential form is:

39650 = 2¹ × 5² × 13¹ × 61¹

Step-3: Factors of 39645

List of positive integer factors of 39645 that divides 39645 without a remainder.

1, 3, 5, 9, 15, 45, 881, 2643, 4405, 7929, 13215

Step-4: Factors of 39650

List of positive integer factors of 39650 that divides 39645 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 61, 65, 122, 130, 305, 325, 610, 650, 793, 1525, 1586, 3050, 3965, 7930, 19825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39645 and 39650. The biggest common factor number is the GCF number.
So the greatest common factor 39645 and 39650 is 5.

Also check out the Least Common Multiple of 39645 and 39650