What is the Greatest Common Factor of 39774 and 39788?

Greatest common factor (GCF) of 39774 and 39788 is 14.

GCF(39774,39788) = 14

We will now calculate the prime factors of 39774 and 39788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39774 and 39788.

How to find the GCF of 39774 and 39788?

We will first find the prime factorization of 39774 and 39788. After we will calculate the factors of 39774 and 39788 and find the biggest common factor number .

Step-1: Prime Factorization of 39774

Prime factors of 39774 are 2, 3, 7, 947. Prime factorization of 39774 in exponential form is:

39774 = 2¹ × 3¹ × 7¹ × 947¹

Step-2: Prime Factorization of 39788

Prime factors of 39788 are 2, 7, 29. Prime factorization of 39788 in exponential form is:

39788 = 2² × 7³ × 29¹

Step-3: Factors of 39774

List of positive integer factors of 39774 that divides 39774 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 947, 1894, 2841, 5682, 6629, 13258, 19887

Step-4: Factors of 39788

List of positive integer factors of 39788 that divides 39774 without a remainder.

1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 343, 406, 686, 812, 1372, 1421, 2842, 5684, 9947, 19894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39774 and 39788. The biggest common factor number is the GCF number.
So the greatest common factor 39774 and 39788 is 14.

Also check out the Least Common Multiple of 39774 and 39788