What is the Greatest Common Factor of 13235 and 13250?

Greatest common factor (GCF) of 13235 and 13250 is 5.

GCF(13235,13250) = 5

We will now calculate the prime factors of 13235 and 13250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13235 and 13250.

How to find the GCF of 13235 and 13250?

We will first find the prime factorization of 13235 and 13250. After we will calculate the factors of 13235 and 13250 and find the biggest common factor number .

Step-1: Prime Factorization of 13235

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

13235 = 5¹ × 2647¹

Step-2: Prime Factorization of 13250

Prime factors of 13250 are 2, 5, 53. Prime factorization of 13250 in exponential form is:

13250 = 2¹ × 5³ × 53¹

Step-3: Factors of 13235

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

1, 5, 2647

Step-4: Factors of 13250

List of positive integer factors of 13250 that divides 13235 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 125, 250, 265, 530, 1325, 2650, 6625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13235 and 13250. The biggest common factor number is the GCF number.
So the greatest common factor 13235 and 13250 is 5.

Also check out the Least Common Multiple of 13235 and 13250