What is the Greatest Common Factor of 29730 and 29737?

Greatest common factor (GCF) of 29730 and 29737 is 1.

GCF(29730,29737) = 1

We will now calculate the prime factors of 29730 and 29737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29730 and 29737.

How to find the GCF of 29730 and 29737?

We will first find the prime factorization of 29730 and 29737. After we will calculate the factors of 29730 and 29737 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29737

Prime factors of 29737 are 131, 227. Prime factorization of 29737 in exponential form is:

29737 = 131¹ × 227¹

Step-3: Factors of 29730

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

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

Step-4: Factors of 29737

List of positive integer factors of 29737 that divides 29730 without a remainder.

1, 131, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29730 and 29737. The biggest common factor number is the GCF number.
So the greatest common factor 29730 and 29737 is 1.

Also check out the Least Common Multiple of 29730 and 29737