What is the Greatest Common Factor of 13220 and 13235?

Greatest common factor (GCF) of 13220 and 13235 is 5.

GCF(13220,13235) = 5

We will now calculate the prime factors of 13220 and 13235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13220 and 13235.

How to find the GCF of 13220 and 13235?

We will first find the prime factorization of 13220 and 13235. After we will calculate the factors of 13220 and 13235 and find the biggest common factor number .

Step-1: Prime Factorization of 13220

Prime factors of 13220 are 2, 5, 661. Prime factorization of 13220 in exponential form is:

13220 = 2² × 5¹ × 661¹

Step-2: Prime Factorization of 13235

Prime factors of 13235 are 5, 2647. Prime factorization of 13235 in exponential form is:

13235 = 5¹ × 2647¹

Step-3: Factors of 13220

List of positive integer factors of 13220 that divides 13220 without a remainder.

1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610

Step-4: Factors of 13235

List of positive integer factors of 13235 that divides 13220 without a remainder.

1, 5, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13220 and 13235. The biggest common factor number is the GCF number.
So the greatest common factor 13220 and 13235 is 5.

Also check out the Least Common Multiple of 13220 and 13235