What is the Greatest Common Factor of 29731 and 29744?

Greatest common factor (GCF) of 29731 and 29744 is 13.

GCF(29731,29744) = 13

We will now calculate the prime factors of 29731 and 29744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29731 and 29744.

How to find the GCF of 29731 and 29744?

We will first find the prime factorization of 29731 and 29744. After we will calculate the factors of 29731 and 29744 and find the biggest common factor number .

Step-1: Prime Factorization of 29731

Prime factors of 29731 are 13, 2287. Prime factorization of 29731 in exponential form is:

29731 = 13¹ × 2287¹

Step-2: Prime Factorization of 29744

Prime factors of 29744 are 2, 11, 13. Prime factorization of 29744 in exponential form is:

29744 = 2⁴ × 11¹ × 13²

Step-3: Factors of 29731

List of positive integer factors of 29731 that divides 29731 without a remainder.

1, 13, 2287

Step-4: Factors of 29744

List of positive integer factors of 29744 that divides 29731 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 169, 176, 208, 286, 338, 572, 676, 1144, 1352, 1859, 2288, 2704, 3718, 7436, 14872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29731 and 29744. The biggest common factor number is the GCF number.
So the greatest common factor 29731 and 29744 is 13.

Also check out the Least Common Multiple of 29731 and 29744