What is the Greatest Common Factor of 39645 and 39651?

Greatest common factor (GCF) of 39645 and 39651 is 3.

GCF(39645,39651) = 3

We will now calculate the prime factors of 39645 and 39651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39645 and 39651.

How to find the GCF of 39645 and 39651?

We will first find the prime factorization of 39645 and 39651. After we will calculate the factors of 39645 and 39651 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 39651

Prime factors of 39651 are 3, 13217. Prime factorization of 39651 in exponential form is:

39651 = 3¹ × 13217¹

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 39651

List of positive integer factors of 39651 that divides 39645 without a remainder.

1, 3, 13217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39645 and 39651. The biggest common factor number is the GCF number.
So the greatest common factor 39645 and 39651 is 3.

Also check out the Least Common Multiple of 39645 and 39651