What is the Greatest Common Factor of 29955 and 29961?

Greatest common factor (GCF) of 29955 and 29961 is 3.

GCF(29955,29961) = 3

We will now calculate the prime factors of 29955 and 29961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29955 and 29961.

How to find the GCF of 29955 and 29961?

We will first find the prime factorization of 29955 and 29961. After we will calculate the factors of 29955 and 29961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29961

Prime factors of 29961 are 3, 3329. Prime factorization of 29961 in exponential form is:

29961 = 3² × 3329¹

Step-3: Factors of 29955

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

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

Step-4: Factors of 29961

List of positive integer factors of 29961 that divides 29955 without a remainder.

1, 3, 9, 3329, 9987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29955 and 29961. The biggest common factor number is the GCF number.
So the greatest common factor 29955 and 29961 is 3.

Also check out the Least Common Multiple of 29955 and 29961