What is the Greatest Common Factor of 29300 and 29315?

Greatest common factor (GCF) of 29300 and 29315 is 5.

GCF(29300,29315) = 5

We will now calculate the prime factors of 29300 and 29315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29300 and 29315.

How to find the GCF of 29300 and 29315?

We will first find the prime factorization of 29300 and 29315. After we will calculate the factors of 29300 and 29315 and find the biggest common factor number .

Step-1: Prime Factorization of 29300

Prime factors of 29300 are 2, 5, 293. Prime factorization of 29300 in exponential form is:

29300 = 2² × 5² × 293¹

Step-2: Prime Factorization of 29315

Prime factors of 29315 are 5, 11, 13, 41. Prime factorization of 29315 in exponential form is:

29315 = 5¹ × 11¹ × 13¹ × 41¹

Step-3: Factors of 29300

List of positive integer factors of 29300 that divides 29300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 293, 586, 1172, 1465, 2930, 5860, 7325, 14650

Step-4: Factors of 29315

List of positive integer factors of 29315 that divides 29300 without a remainder.

1, 5, 11, 13, 41, 55, 65, 143, 205, 451, 533, 715, 2255, 2665, 5863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29300 and 29315. The biggest common factor number is the GCF number.
So the greatest common factor 29300 and 29315 is 5.

Also check out the Least Common Multiple of 29300 and 29315