What is the Greatest Common Factor of 39228 and 39242?

Greatest common factor (GCF) of 39228 and 39242 is 14.

GCF(39228,39242) = 14

We will now calculate the prime factors of 39228 and 39242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39228 and 39242.

How to find the GCF of 39228 and 39242?

We will first find the prime factorization of 39228 and 39242. After we will calculate the factors of 39228 and 39242 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39242

Prime factors of 39242 are 2, 7, 2803. Prime factorization of 39242 in exponential form is:

39242 = 2¹ × 7¹ × 2803¹

Step-3: Factors of 39228

List of positive integer factors of 39228 that divides 39228 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

Step-4: Factors of 39242

List of positive integer factors of 39242 that divides 39228 without a remainder.

1, 2, 7, 14, 2803, 5606, 19621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39228 and 39242. The biggest common factor number is the GCF number.
So the greatest common factor 39228 and 39242 is 14.

Also check out the Least Common Multiple of 39228 and 39242