What is the Greatest Common Factor of 13020 and 13038?

Greatest common factor (GCF) of 13020 and 13038 is 6.

GCF(13020,13038) = 6

We will now calculate the prime factors of 13020 and 13038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13020 and 13038.

How to find the GCF of 13020 and 13038?

We will first find the prime factorization of 13020 and 13038. After we will calculate the factors of 13020 and 13038 and find the biggest common factor number .

Step-1: Prime Factorization of 13020

Prime factors of 13020 are 2, 3, 5, 7, 31. Prime factorization of 13020 in exponential form is:

13020 = 2² × 3¹ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 13038

Prime factors of 13038 are 2, 3, 41, 53. Prime factorization of 13038 in exponential form is:

13038 = 2¹ × 3¹ × 41¹ × 53¹

Step-3: Factors of 13020

List of positive integer factors of 13020 that divides 13020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 31, 35, 42, 60, 62, 70, 84, 93, 105, 124, 140, 155, 186, 210, 217, 310, 372, 420, 434, 465, 620, 651, 868, 930, 1085, 1302, 1860, 2170, 2604, 3255, 4340, 6510

Step-4: Factors of 13038

List of positive integer factors of 13038 that divides 13020 without a remainder.

1, 2, 3, 6, 41, 53, 82, 106, 123, 159, 246, 318, 2173, 4346, 6519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13020 and 13038. The biggest common factor number is the GCF number.
So the greatest common factor 13020 and 13038 is 6.

Also check out the Least Common Multiple of 13020 and 13038