What is the Greatest Common Factor of 29926 and 29939?

Greatest common factor (GCF) of 29926 and 29939 is 13.

GCF(29926,29939) = 13

We will now calculate the prime factors of 29926 and 29939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29926 and 29939.

How to find the GCF of 29926 and 29939?

We will first find the prime factorization of 29926 and 29939. After we will calculate the factors of 29926 and 29939 and find the biggest common factor number .

Step-1: Prime Factorization of 29926

Prime factors of 29926 are 2, 13, 1151. Prime factorization of 29926 in exponential form is:

29926 = 2¹ × 13¹ × 1151¹

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 29926

List of positive integer factors of 29926 that divides 29926 without a remainder.

1, 2, 13, 26, 1151, 2302, 14963

Step-4: Factors of 29939

List of positive integer factors of 29939 that divides 29926 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 29926 and 29939. The biggest common factor number is the GCF number.
So the greatest common factor 29926 and 29939 is 13.

Also check out the Least Common Multiple of 29926 and 29939