What is the Greatest Common Factor of 13250 and 13270?

Greatest common factor (GCF) of 13250 and 13270 is 10.

GCF(13250,13270) = 10

We will now calculate the prime factors of 13250 and 13270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13250 and 13270.

How to find the GCF of 13250 and 13270?

We will first find the prime factorization of 13250 and 13270. After we will calculate the factors of 13250 and 13270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13270

Prime factors of 13270 are 2, 5, 1327. Prime factorization of 13270 in exponential form is:

13270 = 2¹ × 5¹ × 1327¹

Step-3: Factors of 13250

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

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

Step-4: Factors of 13270

List of positive integer factors of 13270 that divides 13250 without a remainder.

1, 2, 5, 10, 1327, 2654, 6635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13250 and 13270. The biggest common factor number is the GCF number.
So the greatest common factor 13250 and 13270 is 10.

Also check out the Least Common Multiple of 13250 and 13270