What is the Greatest Common Factor of 29748 and 29763?

Greatest common factor (GCF) of 29748 and 29763 is 3.

GCF(29748,29763) = 3

We will now calculate the prime factors of 29748 and 29763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29748 and 29763.

How to find the GCF of 29748 and 29763?

We will first find the prime factorization of 29748 and 29763. After we will calculate the factors of 29748 and 29763 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29763

Prime factors of 29763 are 3, 3307. Prime factorization of 29763 in exponential form is:

29763 = 3² × 3307¹

Step-3: Factors of 29748

List of positive integer factors of 29748 that divides 29748 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

Step-4: Factors of 29763

List of positive integer factors of 29763 that divides 29748 without a remainder.

1, 3, 9, 3307, 9921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29748 and 29763. The biggest common factor number is the GCF number.
So the greatest common factor 29748 and 29763 is 3.

Also check out the Least Common Multiple of 29748 and 29763