What is the Greatest Common Factor of 39219 and 39228?

Greatest common factor (GCF) of 39219 and 39228 is 3.

GCF(39219,39228) = 3

We will now calculate the prime factors of 39219 and 39228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39219 and 39228.

How to find the GCF of 39219 and 39228?

We will first find the prime factorization of 39219 and 39228. After we will calculate the factors of 39219 and 39228 and find the biggest common factor number .

Step-1: Prime Factorization of 39219

Prime factors of 39219 are 3, 17, 769. Prime factorization of 39219 in exponential form is:

39219 = 3¹ × 17¹ × 769¹

Step-2: Prime Factorization of 39228

Prime factors of 39228 are 2, 3, 7, 467. Prime factorization of 39228 in exponential form is:

39228 = 2² × 3¹ × 7¹ × 467¹

Step-3: Factors of 39219

List of positive integer factors of 39219 that divides 39219 without a remainder.

1, 3, 17, 51, 769, 2307, 13073

Step-4: Factors of 39228

List of positive integer factors of 39228 that divides 39219 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 467, 934, 1401, 1868, 2802, 3269, 5604, 6538, 9807, 13076, 19614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39219 and 39228. The biggest common factor number is the GCF number.
So the greatest common factor 39219 and 39228 is 3.

Also check out the Least Common Multiple of 39219 and 39228