What is the Greatest Common Factor of 13090 and 13102?

Greatest common factor (GCF) of 13090 and 13102 is 2.

GCF(13090,13102) = 2

We will now calculate the prime factors of 13090 and 13102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13090 and 13102.

How to find the GCF of 13090 and 13102?

We will first find the prime factorization of 13090 and 13102. After we will calculate the factors of 13090 and 13102 and find the biggest common factor number .

Step-1: Prime Factorization of 13090

Prime factors of 13090 are 2, 5, 7, 11, 17. Prime factorization of 13090 in exponential form is:

13090 = 2¹ × 5¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 13102

Prime factors of 13102 are 2, 6551. Prime factorization of 13102 in exponential form is:

13102 = 2¹ × 6551¹

Step-3: Factors of 13090

List of positive integer factors of 13090 that divides 13090 without a remainder.

1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110, 119, 154, 170, 187, 238, 374, 385, 595, 770, 935, 1190, 1309, 1870, 2618, 6545

Step-4: Factors of 13102

List of positive integer factors of 13102 that divides 13090 without a remainder.

1, 2, 6551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13090 and 13102. The biggest common factor number is the GCF number.
So the greatest common factor 13090 and 13102 is 2.

Also check out the Least Common Multiple of 13090 and 13102