What is the Greatest Common Factor of 39228 and 39248?

Greatest common factor (GCF) of 39228 and 39248 is 4.

GCF(39228,39248) = 4

We will now calculate the prime factors of 39228 and 39248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39228 and 39248.

How to find the GCF of 39228 and 39248?

We will first find the prime factorization of 39228 and 39248. After we will calculate the factors of 39228 and 39248 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 39248

Prime factors of 39248 are 2, 11, 223. Prime factorization of 39248 in exponential form is:

39248 = 2⁴ × 11¹ × 223¹

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 39248

List of positive integer factors of 39248 that divides 39228 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39228 and 39248. The biggest common factor number is the GCF number.
So the greatest common factor 39228 and 39248 is 4.

Also check out the Least Common Multiple of 39228 and 39248