What is the Greatest Common Factor of 89280 and 89295?

Greatest common factor (GCF) of 89280 and 89295 is 15.

GCF(89280,89295) = 15

We will now calculate the prime factors of 89280 and 89295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89280 and 89295.

How to find the GCF of 89280 and 89295?

We will first find the prime factorization of 89280 and 89295. After we will calculate the factors of 89280 and 89295 and find the biggest common factor number .

Step-1: Prime Factorization of 89280

Prime factors of 89280 are 2, 3, 5, 31. Prime factorization of 89280 in exponential form is:

89280 = 2⁶ × 3² × 5¹ × 31¹

Step-2: Prime Factorization of 89295

Prime factors of 89295 are 3, 5, 5953. Prime factorization of 89295 in exponential form is:

89295 = 3¹ × 5¹ × 5953¹

Step-3: Factors of 89280

List of positive integer factors of 89280 that divides 89280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 31, 32, 36, 40, 45, 48, 60, 62, 64, 72, 80, 90, 93, 96, 120, 124, 144, 155, 160, 180, 186, 192, 240, 248, 279, 288, 310, 320, 360, 372, 465, 480, 496, 558, 576, 620, 720, 744, 930, 960, 992, 1116, 1240, 1395, 1440, 1488, 1860, 1984, 2232, 2480, 2790, 2880, 2976, 3720, 4464, 4960, 5580, 5952, 7440, 8928, 9920, 11160, 14880, 17856, 22320, 29760, 44640

Step-4: Factors of 89295

List of positive integer factors of 89295 that divides 89280 without a remainder.

1, 3, 5, 15, 5953, 17859, 29765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89280 and 89295. The biggest common factor number is the GCF number.
So the greatest common factor 89280 and 89295 is 15.

Also check out the Least Common Multiple of 89280 and 89295