What is the Greatest Common Factor of 89262 and 89280?

Greatest common factor (GCF) of 89262 and 89280 is 18.

GCF(89262,89280) = 18

We will now calculate the prime factors of 89262 and 89280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89262 and 89280.

How to find the GCF of 89262 and 89280?

We will first find the prime factorization of 89262 and 89280. After we will calculate the factors of 89262 and 89280 and find the biggest common factor number .

Step-1: Prime Factorization of 89262

Prime factors of 89262 are 2, 3, 19, 29. Prime factorization of 89262 in exponential form is:

89262 = 2¹ × 3⁴ × 19¹ × 29¹

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 89262

List of positive integer factors of 89262 that divides 89262 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 29, 38, 54, 57, 58, 81, 87, 114, 162, 171, 174, 261, 342, 513, 522, 551, 783, 1026, 1102, 1539, 1566, 1653, 2349, 3078, 3306, 4698, 4959, 9918, 14877, 29754, 44631

Step-4: Factors of 89280

List of positive integer factors of 89280 that divides 89262 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 89262 and 89280. The biggest common factor number is the GCF number.
So the greatest common factor 89262 and 89280 is 18.

Also check out the Least Common Multiple of 89262 and 89280