What is the Greatest Common Factor of 39603 and 39612?

Greatest common factor (GCF) of 39603 and 39612 is 3.

GCF(39603,39612) = 3

We will now calculate the prime factors of 39603 and 39612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39603 and 39612.

How to find the GCF of 39603 and 39612?

We will first find the prime factorization of 39603 and 39612. After we will calculate the factors of 39603 and 39612 and find the biggest common factor number .

Step-1: Prime Factorization of 39603

Prime factors of 39603 are 3, 43, 307. Prime factorization of 39603 in exponential form is:

39603 = 3¹ × 43¹ × 307¹

Step-2: Prime Factorization of 39612

Prime factors of 39612 are 2, 3, 3301. Prime factorization of 39612 in exponential form is:

39612 = 2² × 3¹ × 3301¹

Step-3: Factors of 39603

List of positive integer factors of 39603 that divides 39603 without a remainder.

1, 3, 43, 129, 307, 921, 13201

Step-4: Factors of 39612

List of positive integer factors of 39612 that divides 39603 without a remainder.

1, 2, 3, 4, 6, 12, 3301, 6602, 9903, 13204, 19806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39603 and 39612. The biggest common factor number is the GCF number.
So the greatest common factor 39603 and 39612 is 3.

Also check out the Least Common Multiple of 39603 and 39612