What is the Greatest Common Factor of 29910 and 29923?

Greatest common factor (GCF) of 29910 and 29923 is 1.

GCF(29910,29923) = 1

We will now calculate the prime factors of 29910 and 29923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29910 and 29923.

How to find the GCF of 29910 and 29923?

We will first find the prime factorization of 29910 and 29923. After we will calculate the factors of 29910 and 29923 and find the biggest common factor number .

Step-1: Prime Factorization of 29910

Prime factors of 29910 are 2, 3, 5, 997. Prime factorization of 29910 in exponential form is:

29910 = 2¹ × 3¹ × 5¹ × 997¹

Step-2: Prime Factorization of 29923

Prime factors of 29923 are 23, 1301. Prime factorization of 29923 in exponential form is:

29923 = 23¹ × 1301¹

Step-3: Factors of 29910

List of positive integer factors of 29910 that divides 29910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 997, 1994, 2991, 4985, 5982, 9970, 14955

Step-4: Factors of 29923

List of positive integer factors of 29923 that divides 29910 without a remainder.

1, 23, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29910 and 29923. The biggest common factor number is the GCF number.
So the greatest common factor 29910 and 29923 is 1.

Also check out the Least Common Multiple of 29910 and 29923