What is the Greatest Common Factor of 29295 and 29300?

Greatest common factor (GCF) of 29295 and 29300 is 5.

GCF(29295,29300) = 5

We will now calculate the prime factors of 29295 and 29300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29295 and 29300.

How to find the GCF of 29295 and 29300?

We will first find the prime factorization of 29295 and 29300. After we will calculate the factors of 29295 and 29300 and find the biggest common factor number .

Step-1: Prime Factorization of 29295

Prime factors of 29295 are 3, 5, 7, 31. Prime factorization of 29295 in exponential form is:

29295 = 3³ × 5¹ × 7¹ × 31¹

Step-2: 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-3: Factors of 29295

List of positive integer factors of 29295 that divides 29295 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 31, 35, 45, 63, 93, 105, 135, 155, 189, 217, 279, 315, 465, 651, 837, 945, 1085, 1395, 1953, 3255, 4185, 5859, 9765

Step-4: Factors of 29300

List of positive integer factors of 29300 that divides 29295 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29295 and 29300. The biggest common factor number is the GCF number.
So the greatest common factor 29295 and 29300 is 5.

Also check out the Least Common Multiple of 29295 and 29300