What is the Greatest Common Factor of 29928 and 29939?

Greatest common factor (GCF) of 29928 and 29939 is 1.

GCF(29928,29939) = 1

We will now calculate the prime factors of 29928 and 29939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29928 and 29939.

How to find the GCF of 29928 and 29939?

We will first find the prime factorization of 29928 and 29939. After we will calculate the factors of 29928 and 29939 and find the biggest common factor number .

Step-1: Prime Factorization of 29928

Prime factors of 29928 are 2, 3, 29, 43. Prime factorization of 29928 in exponential form is:

29928 = 2³ × 3¹ × 29¹ × 43¹

Step-2: Prime Factorization of 29939

Prime factors of 29939 are 7, 13, 47. Prime factorization of 29939 in exponential form is:

29939 = 7² × 13¹ × 47¹

Step-3: Factors of 29928

List of positive integer factors of 29928 that divides 29928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 43, 58, 86, 87, 116, 129, 172, 174, 232, 258, 344, 348, 516, 696, 1032, 1247, 2494, 3741, 4988, 7482, 9976, 14964

Step-4: Factors of 29939

List of positive integer factors of 29939 that divides 29928 without a remainder.

1, 7, 13, 47, 49, 91, 329, 611, 637, 2303, 4277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29928 and 29939. The biggest common factor number is the GCF number.
So the greatest common factor 29928 and 29939 is 1.

Also check out the Least Common Multiple of 29928 and 29939