What is the Greatest Common Factor of 40599 and 40612?

Greatest common factor (GCF) of 40599 and 40612 is 13.

GCF(40599,40612) = 13

We will now calculate the prime factors of 40599 and 40612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40599 and 40612.

How to find the GCF of 40599 and 40612?

We will first find the prime factorization of 40599 and 40612. After we will calculate the factors of 40599 and 40612 and find the biggest common factor number .

Step-1: Prime Factorization of 40599

Prime factors of 40599 are 3, 13, 347. Prime factorization of 40599 in exponential form is:

40599 = 3² × 13¹ × 347¹

Step-2: Prime Factorization of 40612

Prime factors of 40612 are 2, 11, 13, 71. Prime factorization of 40612 in exponential form is:

40612 = 2² × 11¹ × 13¹ × 71¹

Step-3: Factors of 40599

List of positive integer factors of 40599 that divides 40599 without a remainder.

1, 3, 9, 13, 39, 117, 347, 1041, 3123, 4511, 13533

Step-4: Factors of 40612

List of positive integer factors of 40612 that divides 40599 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 71, 142, 143, 284, 286, 572, 781, 923, 1562, 1846, 3124, 3692, 10153, 20306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40599 and 40612. The biggest common factor number is the GCF number.
So the greatest common factor 40599 and 40612 is 13.

Also check out the Least Common Multiple of 40599 and 40612