What is the Greatest Common Factor of 29916 and 29927?

Greatest common factor (GCF) of 29916 and 29927 is 1.

GCF(29916,29927) = 1

We will now calculate the prime factors of 29916 and 29927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29916 and 29927.

How to find the GCF of 29916 and 29927?

We will first find the prime factorization of 29916 and 29927. After we will calculate the factors of 29916 and 29927 and find the biggest common factor number .

Step-1: Prime Factorization of 29916

Prime factors of 29916 are 2, 3, 277. Prime factorization of 29916 in exponential form is:

29916 = 2² × 3³ × 277¹

Step-2: Prime Factorization of 29927

Prime factors of 29927 are 29927. Prime factorization of 29927 in exponential form is:

29927 = 29927¹

Step-3: Factors of 29916

List of positive integer factors of 29916 that divides 29916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 7479, 9972, 14958

Step-4: Factors of 29927

List of positive integer factors of 29927 that divides 29916 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29916 and 29927. The biggest common factor number is the GCF number.
So the greatest common factor 29916 and 29927 is 1.

Also check out the Least Common Multiple of 29916 and 29927