What is the Greatest Common Factor of 13080 and 13100?

Greatest common factor (GCF) of 13080 and 13100 is 20.

GCF(13080,13100) = 20

We will now calculate the prime factors of 13080 and 13100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13080 and 13100.

How to find the GCF of 13080 and 13100?

We will first find the prime factorization of 13080 and 13100. After we will calculate the factors of 13080 and 13100 and find the biggest common factor number .

Step-1: Prime Factorization of 13080

Prime factors of 13080 are 2, 3, 5, 109. Prime factorization of 13080 in exponential form is:

13080 = 2³ × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 13100

Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:

13100 = 2² × 5² × 131¹

Step-3: Factors of 13080

List of positive integer factors of 13080 that divides 13080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540

Step-4: Factors of 13100

List of positive integer factors of 13100 that divides 13080 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275, 6550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13080 and 13100. The biggest common factor number is the GCF number.
So the greatest common factor 13080 and 13100 is 20.

Also check out the Least Common Multiple of 13080 and 13100