What is the Greatest Common Factor of 13006 and 13020?

Greatest common factor (GCF) of 13006 and 13020 is 14.

GCF(13006,13020) = 14

We will now calculate the prime factors of 13006 and 13020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13006 and 13020.

How to find the GCF of 13006 and 13020?

We will first find the prime factorization of 13006 and 13020. After we will calculate the factors of 13006 and 13020 and find the biggest common factor number .

Step-1: Prime Factorization of 13006

Prime factors of 13006 are 2, 7, 929. Prime factorization of 13006 in exponential form is:

13006 = 2¹ × 7¹ × 929¹

Step-2: 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-3: Factors of 13006

List of positive integer factors of 13006 that divides 13006 without a remainder.

1, 2, 7, 14, 929, 1858, 6503

Step-4: Factors of 13020

List of positive integer factors of 13020 that divides 13006 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13006 and 13020. The biggest common factor number is the GCF number.
So the greatest common factor 13006 and 13020 is 14.

Also check out the Least Common Multiple of 13006 and 13020