What is the Greatest Common Factor of 39788 and 39802?

Greatest common factor (GCF) of 39788 and 39802 is 14.

GCF(39788,39802) = 14

We will now calculate the prime factors of 39788 and 39802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39788 and 39802.

How to find the GCF of 39788 and 39802?

We will first find the prime factorization of 39788 and 39802. After we will calculate the factors of 39788 and 39802 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39802

Prime factors of 39802 are 2, 7, 2843. Prime factorization of 39802 in exponential form is:

39802 = 2¹ × 7¹ × 2843¹

Step-3: Factors of 39788

List of positive integer factors of 39788 that divides 39788 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

Step-4: Factors of 39802

List of positive integer factors of 39802 that divides 39788 without a remainder.

1, 2, 7, 14, 2843, 5686, 19901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39788 and 39802. The biggest common factor number is the GCF number.
So the greatest common factor 39788 and 39802 is 14.

Also check out the Least Common Multiple of 39788 and 39802