What is the Greatest Common Factor of 29280 and 29295?

Greatest common factor (GCF) of 29280 and 29295 is 15.

GCF(29280,29295) = 15

We will now calculate the prime factors of 29280 and 29295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29280 and 29295.

How to find the GCF of 29280 and 29295?

We will first find the prime factorization of 29280 and 29295. After we will calculate the factors of 29280 and 29295 and find the biggest common factor number .

Step-1: Prime Factorization of 29280

Prime factors of 29280 are 2, 3, 5, 61. Prime factorization of 29280 in exponential form is:

29280 = 2⁵ × 3¹ × 5¹ × 61¹

Step-2: 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-3: Factors of 29280

List of positive integer factors of 29280 that divides 29280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 61, 80, 96, 120, 122, 160, 183, 240, 244, 305, 366, 480, 488, 610, 732, 915, 976, 1220, 1464, 1830, 1952, 2440, 2928, 3660, 4880, 5856, 7320, 9760, 14640

Step-4: Factors of 29295

List of positive integer factors of 29295 that divides 29280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29280 and 29295. The biggest common factor number is the GCF number.
So the greatest common factor 29280 and 29295 is 15.

Also check out the Least Common Multiple of 29280 and 29295