What is the Greatest Common Factor of 39774 and 39782?

Greatest common factor (GCF) of 39774 and 39782 is 2.

GCF(39774,39782) = 2

We will now calculate the prime factors of 39774 and 39782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39774 and 39782.

How to find the GCF of 39774 and 39782?

We will first find the prime factorization of 39774 and 39782. After we will calculate the factors of 39774 and 39782 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 39782

Prime factors of 39782 are 2, 19891. Prime factorization of 39782 in exponential form is:

39782 = 2¹ × 19891¹

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 39782

List of positive integer factors of 39782 that divides 39774 without a remainder.

1, 2, 19891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39774 and 39782. The biggest common factor number is the GCF number.
So the greatest common factor 39774 and 39782 is 2.

Also check out the Least Common Multiple of 39774 and 39782