What is the Greatest Common Factor of 36296 and 36309?

Greatest common factor (GCF) of 36296 and 36309 is 13.

GCF(36296,36309) = 13

We will now calculate the prime factors of 36296 and 36309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36296 and 36309.

How to find the GCF of 36296 and 36309?

We will first find the prime factorization of 36296 and 36309. After we will calculate the factors of 36296 and 36309 and find the biggest common factor number .

Step-1: Prime Factorization of 36296

Prime factors of 36296 are 2, 13, 349. Prime factorization of 36296 in exponential form is:

36296 = 2³ × 13¹ × 349¹

Step-2: Prime Factorization of 36309

Prime factors of 36309 are 3, 7, 13, 19. Prime factorization of 36309 in exponential form is:

36309 = 3¹ × 7² × 13¹ × 19¹

Step-3: Factors of 36296

List of positive integer factors of 36296 that divides 36296 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 349, 698, 1396, 2792, 4537, 9074, 18148

Step-4: Factors of 36309

List of positive integer factors of 36309 that divides 36296 without a remainder.

1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36296 and 36309. The biggest common factor number is the GCF number.
So the greatest common factor 36296 and 36309 is 13.

Also check out the Least Common Multiple of 36296 and 36309