What is the Greatest Common Factor of 13014 and 13034?

Greatest common factor (GCF) of 13014 and 13034 is 2.

GCF(13014,13034) = 2

We will now calculate the prime factors of 13014 and 13034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13014 and 13034.

How to find the GCF of 13014 and 13034?

We will first find the prime factorization of 13014 and 13034. After we will calculate the factors of 13014 and 13034 and find the biggest common factor number .

Step-1: Prime Factorization of 13014

Prime factors of 13014 are 2, 3, 241. Prime factorization of 13014 in exponential form is:

13014 = 2¹ × 3³ × 241¹

Step-2: Prime Factorization of 13034

Prime factors of 13034 are 2, 7, 19. Prime factorization of 13034 in exponential form is:

13034 = 2¹ × 7³ × 19¹

Step-3: Factors of 13014

List of positive integer factors of 13014 that divides 13014 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 241, 482, 723, 1446, 2169, 4338, 6507

Step-4: Factors of 13034

List of positive integer factors of 13034 that divides 13014 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 343, 686, 931, 1862, 6517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13014 and 13034. The biggest common factor number is the GCF number.
So the greatest common factor 13014 and 13034 is 2.

Also check out the Least Common Multiple of 13014 and 13034