What is the Greatest Common Factor of 13490 and 13501?

Greatest common factor (GCF) of 13490 and 13501 is 1.

GCF(13490,13501) = 1

We will now calculate the prime factors of 13490 and 13501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13490 and 13501.

How to find the GCF of 13490 and 13501?

We will first find the prime factorization of 13490 and 13501. After we will calculate the factors of 13490 and 13501 and find the biggest common factor number .

Step-1: Prime Factorization of 13490

Prime factors of 13490 are 2, 5, 19, 71. Prime factorization of 13490 in exponential form is:

13490 = 2¹ × 5¹ × 19¹ × 71¹

Step-2: Prime Factorization of 13501

Prime factors of 13501 are 23, 587. Prime factorization of 13501 in exponential form is:

13501 = 23¹ × 587¹

Step-3: Factors of 13490

List of positive integer factors of 13490 that divides 13490 without a remainder.

1, 2, 5, 10, 19, 38, 71, 95, 142, 190, 355, 710, 1349, 2698, 6745

Step-4: Factors of 13501

List of positive integer factors of 13501 that divides 13490 without a remainder.

1, 23, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13490 and 13501. The biggest common factor number is the GCF number.
So the greatest common factor 13490 and 13501 is 1.

Also check out the Least Common Multiple of 13490 and 13501