What is the Greatest Common Factor of 29919 and 29937?

Greatest common factor (GCF) of 29919 and 29937 is 3.

GCF(29919,29937) = 3

We will now calculate the prime factors of 29919 and 29937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29919 and 29937.

How to find the GCF of 29919 and 29937?

We will first find the prime factorization of 29919 and 29937. After we will calculate the factors of 29919 and 29937 and find the biggest common factor number .

Step-1: Prime Factorization of 29919

Prime factors of 29919 are 3, 9973. Prime factorization of 29919 in exponential form is:

29919 = 3¹ × 9973¹

Step-2: Prime Factorization of 29937

Prime factors of 29937 are 3, 17, 587. Prime factorization of 29937 in exponential form is:

29937 = 3¹ × 17¹ × 587¹

Step-3: Factors of 29919

List of positive integer factors of 29919 that divides 29919 without a remainder.

1, 3, 9973

Step-4: Factors of 29937

List of positive integer factors of 29937 that divides 29919 without a remainder.

1, 3, 17, 51, 587, 1761, 9979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29919 and 29937. The biggest common factor number is the GCF number.
So the greatest common factor 29919 and 29937 is 3.

Also check out the Least Common Multiple of 29919 and 29937