What is the Greatest Common Factor of 29946 and 29955?

Greatest common factor (GCF) of 29946 and 29955 is 3.

GCF(29946,29955) = 3

We will now calculate the prime factors of 29946 and 29955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29946 and 29955.

How to find the GCF of 29946 and 29955?

We will first find the prime factorization of 29946 and 29955. After we will calculate the factors of 29946 and 29955 and find the biggest common factor number .

Step-1: Prime Factorization of 29946

Prime factors of 29946 are 2, 3, 7, 23, 31. Prime factorization of 29946 in exponential form is:

29946 = 2¹ × 3¹ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 29955

Prime factors of 29955 are 3, 5, 1997. Prime factorization of 29955 in exponential form is:

29955 = 3¹ × 5¹ × 1997¹

Step-3: Factors of 29946

List of positive integer factors of 29946 that divides 29946 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 31, 42, 46, 62, 69, 93, 138, 161, 186, 217, 322, 434, 483, 651, 713, 966, 1302, 1426, 2139, 4278, 4991, 9982, 14973

Step-4: Factors of 29955

List of positive integer factors of 29955 that divides 29946 without a remainder.

1, 3, 5, 15, 1997, 5991, 9985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29946 and 29955. The biggest common factor number is the GCF number.
So the greatest common factor 29946 and 29955 is 3.

Also check out the Least Common Multiple of 29946 and 29955