What is the Greatest Common Factor of 13100 and 13110?

Greatest common factor (GCF) of 13100 and 13110 is 10.

GCF(13100,13110) = 10

We will now calculate the prime factors of 13100 and 13110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13100 and 13110.

How to find the GCF of 13100 and 13110?

We will first find the prime factorization of 13100 and 13110. After we will calculate the factors of 13100 and 13110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13110

Prime factors of 13110 are 2, 3, 5, 19, 23. Prime factorization of 13110 in exponential form is:

13110 = 2¹ × 3¹ × 5¹ × 19¹ × 23¹

Step-3: Factors of 13100

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

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

Step-4: Factors of 13110

List of positive integer factors of 13110 that divides 13100 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 23, 30, 38, 46, 57, 69, 95, 114, 115, 138, 190, 230, 285, 345, 437, 570, 690, 874, 1311, 2185, 2622, 4370, 6555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13100 and 13110. The biggest common factor number is the GCF number.
So the greatest common factor 13100 and 13110 is 10.

Also check out the Least Common Multiple of 13100 and 13110