What is the Greatest Common Factor of 29721 and 29730?

Greatest common factor (GCF) of 29721 and 29730 is 3.

GCF(29721,29730) = 3

We will now calculate the prime factors of 29721 and 29730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29721 and 29730.

How to find the GCF of 29721 and 29730?

We will first find the prime factorization of 29721 and 29730. After we will calculate the factors of 29721 and 29730 and find the biggest common factor number .

Step-1: Prime Factorization of 29721

Prime factors of 29721 are 3, 9907. Prime factorization of 29721 in exponential form is:

29721 = 3¹ × 9907¹

Step-2: Prime Factorization of 29730

Prime factors of 29730 are 2, 3, 5, 991. Prime factorization of 29730 in exponential form is:

29730 = 2¹ × 3¹ × 5¹ × 991¹

Step-3: Factors of 29721

List of positive integer factors of 29721 that divides 29721 without a remainder.

1, 3, 9907

Step-4: Factors of 29730

List of positive integer factors of 29730 that divides 29721 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 991, 1982, 2973, 4955, 5946, 9910, 14865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29721 and 29730. The biggest common factor number is the GCF number.
So the greatest common factor 29721 and 29730 is 3.

Also check out the Least Common Multiple of 29721 and 29730