What is the Greatest Common Factor of 13224 and 13228?

Greatest common factor (GCF) of 13224 and 13228 is 4.

GCF(13224,13228) = 4

We will now calculate the prime factors of 13224 and 13228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13224 and 13228.

How to find the GCF of 13224 and 13228?

We will first find the prime factorization of 13224 and 13228. After we will calculate the factors of 13224 and 13228 and find the biggest common factor number .

Step-1: Prime Factorization of 13224

Prime factors of 13224 are 2, 3, 19, 29. Prime factorization of 13224 in exponential form is:

13224 = 2³ × 3¹ × 19¹ × 29¹

Step-2: Prime Factorization of 13228

Prime factors of 13228 are 2, 3307. Prime factorization of 13228 in exponential form is:

13228 = 2² × 3307¹

Step-3: Factors of 13224

List of positive integer factors of 13224 that divides 13224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612

Step-4: Factors of 13228

List of positive integer factors of 13228 that divides 13224 without a remainder.

1, 2, 4, 3307, 6614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13224 and 13228. The biggest common factor number is the GCF number.
So the greatest common factor 13224 and 13228 is 4.

Also check out the Least Common Multiple of 13224 and 13228