What is the Greatest Common Factor of 13020 and 13027?

Greatest common factor (GCF) of 13020 and 13027 is 7.

GCF(13020,13027) = 7

We will now calculate the prime factors of 13020 and 13027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13020 and 13027.

How to find the GCF of 13020 and 13027?

We will first find the prime factorization of 13020 and 13027. After we will calculate the factors of 13020 and 13027 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 13027

Prime factors of 13027 are 7, 1861. Prime factorization of 13027 in exponential form is:

13027 = 7¹ × 1861¹

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 13027

List of positive integer factors of 13027 that divides 13020 without a remainder.

1, 7, 1861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13020 and 13027. The biggest common factor number is the GCF number.
So the greatest common factor 13020 and 13027 is 7.

Also check out the Least Common Multiple of 13020 and 13027