What is the Greatest Common Factor of 29844 and 29851?

Greatest common factor (GCF) of 29844 and 29851 is 1.

GCF(29844,29851) = 1

We will now calculate the prime factors of 29844 and 29851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29844 and 29851.

How to find the GCF of 29844 and 29851?

We will first find the prime factorization of 29844 and 29851. After we will calculate the factors of 29844 and 29851 and find the biggest common factor number .

Step-1: Prime Factorization of 29844

Prime factors of 29844 are 2, 3, 829. Prime factorization of 29844 in exponential form is:

29844 = 2² × 3² × 829¹

Step-2: Prime Factorization of 29851

Prime factors of 29851 are 29851. Prime factorization of 29851 in exponential form is:

29851 = 29851¹

Step-3: Factors of 29844

List of positive integer factors of 29844 that divides 29844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 829, 1658, 2487, 3316, 4974, 7461, 9948, 14922

Step-4: Factors of 29851

List of positive integer factors of 29851 that divides 29844 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29844 and 29851. The biggest common factor number is the GCF number.
So the greatest common factor 29844 and 29851 is 1.

Also check out the Least Common Multiple of 29844 and 29851