What is the Greatest Common Factor of 29961 and 29973?

Greatest common factor (GCF) of 29961 and 29973 is 3.

GCF(29961,29973) = 3

We will now calculate the prime factors of 29961 and 29973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29961 and 29973.

How to find the GCF of 29961 and 29973?

We will first find the prime factorization of 29961 and 29973. After we will calculate the factors of 29961 and 29973 and find the biggest common factor number .

Step-1: Prime Factorization of 29961

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

29961 = 3² × 3329¹

Step-2: Prime Factorization of 29973

Prime factors of 29973 are 3, 97, 103. Prime factorization of 29973 in exponential form is:

29973 = 3¹ × 97¹ × 103¹

Step-3: Factors of 29961

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

1, 3, 9, 3329, 9987

Step-4: Factors of 29973

List of positive integer factors of 29973 that divides 29961 without a remainder.

1, 3, 97, 103, 291, 309, 9991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29961 and 29973. The biggest common factor number is the GCF number.
So the greatest common factor 29961 and 29973 is 3.

Also check out the Least Common Multiple of 29961 and 29973