What is the Greatest Common Factor of 39645 and 39649?

Greatest common factor (GCF) of 39645 and 39649 is 1.

GCF(39645,39649) = 1

We will now calculate the prime factors of 39645 and 39649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39645 and 39649.

How to find the GCF of 39645 and 39649?

We will first find the prime factorization of 39645 and 39649. After we will calculate the factors of 39645 and 39649 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 39649

Prime factors of 39649 are 31, 1279. Prime factorization of 39649 in exponential form is:

39649 = 31¹ × 1279¹

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 39649

List of positive integer factors of 39649 that divides 39645 without a remainder.

1, 31, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39645 and 39649. The biggest common factor number is the GCF number.
So the greatest common factor 39645 and 39649 is 1.

Also check out the Least Common Multiple of 39645 and 39649