What is the Greatest Common Factor of 29265 and 29280?

Greatest common factor (GCF) of 29265 and 29280 is 15.

GCF(29265,29280) = 15

We will now calculate the prime factors of 29265 and 29280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29265 and 29280.

How to find the GCF of 29265 and 29280?

We will first find the prime factorization of 29265 and 29280. After we will calculate the factors of 29265 and 29280 and find the biggest common factor number .

Step-1: Prime Factorization of 29265

Prime factors of 29265 are 3, 5, 1951. Prime factorization of 29265 in exponential form is:

29265 = 3¹ × 5¹ × 1951¹

Step-2: 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-3: Factors of 29265

List of positive integer factors of 29265 that divides 29265 without a remainder.

1, 3, 5, 15, 1951, 5853, 9755

Step-4: Factors of 29280

List of positive integer factors of 29280 that divides 29265 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29265 and 29280. The biggest common factor number is the GCF number.
So the greatest common factor 29265 and 29280 is 15.

Also check out the Least Common Multiple of 29265 and 29280