What is the Greatest Common Factor of 29280 and 29285?

Greatest common factor (GCF) of 29280 and 29285 is 5.

GCF(29280,29285) = 5

We will now calculate the prime factors of 29280 and 29285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29280 and 29285.

How to find the GCF of 29280 and 29285?

We will first find the prime factorization of 29280 and 29285. After we will calculate the factors of 29280 and 29285 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 29285

Prime factors of 29285 are 5, 5857. Prime factorization of 29285 in exponential form is:

29285 = 5¹ × 5857¹

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 29285

List of positive integer factors of 29285 that divides 29280 without a remainder.

1, 5, 5857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29280 and 29285. The biggest common factor number is the GCF number.
So the greatest common factor 29280 and 29285 is 5.

Also check out the Least Common Multiple of 29280 and 29285