What is the Greatest Common Factor of 13330 and 13342?

Greatest common factor (GCF) of 13330 and 13342 is 2.

GCF(13330,13342) = 2

We will now calculate the prime factors of 13330 and 13342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13330 and 13342.

How to find the GCF of 13330 and 13342?

We will first find the prime factorization of 13330 and 13342. After we will calculate the factors of 13330 and 13342 and find the biggest common factor number .

Step-1: Prime Factorization of 13330

Prime factors of 13330 are 2, 5, 31, 43. Prime factorization of 13330 in exponential form is:

13330 = 2¹ × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 13342

Prime factors of 13342 are 2, 7, 953. Prime factorization of 13342 in exponential form is:

13342 = 2¹ × 7¹ × 953¹

Step-3: Factors of 13330

List of positive integer factors of 13330 that divides 13330 without a remainder.

1, 2, 5, 10, 31, 43, 62, 86, 155, 215, 310, 430, 1333, 2666, 6665

Step-4: Factors of 13342

List of positive integer factors of 13342 that divides 13330 without a remainder.

1, 2, 7, 14, 953, 1906, 6671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13330 and 13342. The biggest common factor number is the GCF number.
So the greatest common factor 13330 and 13342 is 2.

Also check out the Least Common Multiple of 13330 and 13342