What is the Greatest Common Factor of 29738 and 29744?

Greatest common factor (GCF) of 29738 and 29744 is 2.

GCF(29738,29744) = 2

We will now calculate the prime factors of 29738 and 29744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29738 and 29744.

How to find the GCF of 29738 and 29744?

We will first find the prime factorization of 29738 and 29744. After we will calculate the factors of 29738 and 29744 and find the biggest common factor number .

Step-1: Prime Factorization of 29738

Prime factors of 29738 are 2, 14869. Prime factorization of 29738 in exponential form is:

29738 = 2¹ × 14869¹

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 29738

List of positive integer factors of 29738 that divides 29738 without a remainder.

1, 2, 14869

Step-4: Factors of 29744

List of positive integer factors of 29744 that divides 29738 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 29738 and 29744. The biggest common factor number is the GCF number.
So the greatest common factor 29738 and 29744 is 2.

Also check out the Least Common Multiple of 29738 and 29744