What is the Greatest Common Factor of 13024 and 13036?

Greatest common factor (GCF) of 13024 and 13036 is 4.

GCF(13024,13036) = 4

We will now calculate the prime factors of 13024 and 13036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13024 and 13036.

How to find the GCF of 13024 and 13036?

We will first find the prime factorization of 13024 and 13036. After we will calculate the factors of 13024 and 13036 and find the biggest common factor number .

Step-1: Prime Factorization of 13024

Prime factors of 13024 are 2, 11, 37. Prime factorization of 13024 in exponential form is:

13024 = 2⁵ × 11¹ × 37¹

Step-2: Prime Factorization of 13036

Prime factors of 13036 are 2, 3259. Prime factorization of 13036 in exponential form is:

13036 = 2² × 3259¹

Step-3: Factors of 13024

List of positive integer factors of 13024 that divides 13024 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 74, 88, 148, 176, 296, 352, 407, 592, 814, 1184, 1628, 3256, 6512

Step-4: Factors of 13036

List of positive integer factors of 13036 that divides 13024 without a remainder.

1, 2, 4, 3259, 6518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13024 and 13036. The biggest common factor number is the GCF number.
So the greatest common factor 13024 and 13036 is 4.

Also check out the Least Common Multiple of 13024 and 13036