What is the Greatest Common Factor of 29739 and 29748?

Greatest common factor (GCF) of 29739 and 29748 is 3.

GCF(29739,29748) = 3

We will now calculate the prime factors of 29739 and 29748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29739 and 29748.

How to find the GCF of 29739 and 29748?

We will first find the prime factorization of 29739 and 29748. After we will calculate the factors of 29739 and 29748 and find the biggest common factor number .

Step-1: Prime Factorization of 29739

Prime factors of 29739 are 3, 23, 431. Prime factorization of 29739 in exponential form is:

29739 = 3¹ × 23¹ × 431¹

Step-2: Prime Factorization of 29748

Prime factors of 29748 are 2, 3, 37, 67. Prime factorization of 29748 in exponential form is:

29748 = 2² × 3¹ × 37¹ × 67¹

Step-3: Factors of 29739

List of positive integer factors of 29739 that divides 29739 without a remainder.

1, 3, 23, 69, 431, 1293, 9913

Step-4: Factors of 29748

List of positive integer factors of 29748 that divides 29739 without a remainder.

1, 2, 3, 4, 6, 12, 37, 67, 74, 111, 134, 148, 201, 222, 268, 402, 444, 804, 2479, 4958, 7437, 9916, 14874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29739 and 29748. The biggest common factor number is the GCF number.
So the greatest common factor 29739 and 29748 is 3.

Also check out the Least Common Multiple of 29739 and 29748