What is the Greatest Common Factor of 89264 and 89280?

Greatest common factor (GCF) of 89264 and 89280 is 16.

GCF(89264,89280) = 16

We will now calculate the prime factors of 89264 and 89280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89264 and 89280.

How to find the GCF of 89264 and 89280?

We will first find the prime factorization of 89264 and 89280. After we will calculate the factors of 89264 and 89280 and find the biggest common factor number .

Step-1: Prime Factorization of 89264

Prime factors of 89264 are 2, 7, 797. Prime factorization of 89264 in exponential form is:

89264 = 2⁴ × 7¹ × 797¹

Step-2: 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-3: Factors of 89264

List of positive integer factors of 89264 that divides 89264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 797, 1594, 3188, 5579, 6376, 11158, 12752, 22316, 44632

Step-4: Factors of 89280

List of positive integer factors of 89280 that divides 89264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89264 and 89280. The biggest common factor number is the GCF number.
So the greatest common factor 89264 and 89280 is 16.

Also check out the Least Common Multiple of 89264 and 89280