What is the Greatest Common Factor of 89280 and 89296?

Greatest common factor (GCF) of 89280 and 89296 is 16.

GCF(89280,89296) = 16

We will now calculate the prime factors of 89280 and 89296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89280 and 89296.

How to find the GCF of 89280 and 89296?

We will first find the prime factorization of 89280 and 89296. After we will calculate the factors of 89280 and 89296 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 89296

Prime factors of 89296 are 2, 5581. Prime factorization of 89296 in exponential form is:

89296 = 2⁴ × 5581¹

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 89296

List of positive integer factors of 89296 that divides 89280 without a remainder.

1, 2, 4, 8, 16, 5581, 11162, 22324, 44648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89280 and 89296. The biggest common factor number is the GCF number.
So the greatest common factor 89280 and 89296 is 16.

Also check out the Least Common Multiple of 89280 and 89296