What is the Greatest Common Factor of 29939 and 29953?

Greatest common factor (GCF) of 29939 and 29953 is 7.

GCF(29939,29953) = 7

We will now calculate the prime factors of 29939 and 29953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29939 and 29953.

How to find the GCF of 29939 and 29953?

We will first find the prime factorization of 29939 and 29953. After we will calculate the factors of 29939 and 29953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29953

Prime factors of 29953 are 7, 11, 389. Prime factorization of 29953 in exponential form is:

29953 = 7¹ × 11¹ × 389¹

Step-3: Factors of 29939

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

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

Step-4: Factors of 29953

List of positive integer factors of 29953 that divides 29939 without a remainder.

1, 7, 11, 77, 389, 2723, 4279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29939 and 29953. The biggest common factor number is the GCF number.
So the greatest common factor 29939 and 29953 is 7.

Also check out the Least Common Multiple of 29939 and 29953