What is the Greatest Common Factor of 29280 and 29287?

Greatest common factor (GCF) of 29280 and 29287 is 1.

GCF(29280,29287) = 1

We will now calculate the prime factors of 29280 and 29287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29280 and 29287.

How to find the GCF of 29280 and 29287?

We will first find the prime factorization of 29280 and 29287. After we will calculate the factors of 29280 and 29287 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 29287

Prime factors of 29287 are 29287. Prime factorization of 29287 in exponential form is:

29287 = 29287¹

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 29287

List of positive integer factors of 29287 that divides 29280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29280 and 29287. The biggest common factor number is the GCF number.
So the greatest common factor 29280 and 29287 is 1.

Also check out the Least Common Multiple of 29280 and 29287