What is the Greatest Common Factor of 29715 and 29730?

Greatest common factor (GCF) of 29715 and 29730 is 15.

GCF(29715,29730) = 15

We will now calculate the prime factors of 29715 and 29730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29715 and 29730.

How to find the GCF of 29715 and 29730?

We will first find the prime factorization of 29715 and 29730. After we will calculate the factors of 29715 and 29730 and find the biggest common factor number .

Step-1: Prime Factorization of 29715

Prime factors of 29715 are 3, 5, 7, 283. Prime factorization of 29715 in exponential form is:

29715 = 3¹ × 5¹ × 7¹ × 283¹

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 29715

List of positive integer factors of 29715 that divides 29715 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 283, 849, 1415, 1981, 4245, 5943, 9905

Step-4: Factors of 29730

List of positive integer factors of 29730 that divides 29715 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 29715 and 29730. The biggest common factor number is the GCF number.
So the greatest common factor 29715 and 29730 is 15.

Also check out the Least Common Multiple of 29715 and 29730