What is the Greatest Common Factor of 29393 and 29406?

Greatest common factor (GCF) of 29393 and 29406 is 13.

GCF(29393,29406) = 13

We will now calculate the prime factors of 29393 and 29406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29393 and 29406.

How to find the GCF of 29393 and 29406?

We will first find the prime factorization of 29393 and 29406. After we will calculate the factors of 29393 and 29406 and find the biggest common factor number .

Step-1: Prime Factorization of 29393

Prime factors of 29393 are 7, 13, 17, 19. Prime factorization of 29393 in exponential form is:

29393 = 7¹ × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 29406

Prime factors of 29406 are 2, 3, 13, 29. Prime factorization of 29406 in exponential form is:

29406 = 2¹ × 3¹ × 13² × 29¹

Step-3: Factors of 29393

List of positive integer factors of 29393 that divides 29393 without a remainder.

1, 7, 13, 17, 19, 91, 119, 133, 221, 247, 323, 1547, 1729, 2261, 4199

Step-4: Factors of 29406

List of positive integer factors of 29406 that divides 29393 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 169, 174, 338, 377, 507, 754, 1014, 1131, 2262, 4901, 9802, 14703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29393 and 29406. The biggest common factor number is the GCF number.
So the greatest common factor 29393 and 29406 is 13.

Also check out the Least Common Multiple of 29393 and 29406