What is the Greatest Common Factor of 89266 and 89280?

Greatest common factor (GCF) of 89266 and 89280 is 2.

GCF(89266,89280) = 2

We will now calculate the prime factors of 89266 and 89280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89266 and 89280.

How to find the GCF of 89266 and 89280?

We will first find the prime factorization of 89266 and 89280. After we will calculate the factors of 89266 and 89280 and find the biggest common factor number .

Step-1: Prime Factorization of 89266

Prime factors of 89266 are 2, 44633. Prime factorization of 89266 in exponential form is:

89266 = 2¹ × 44633¹

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 89266

List of positive integer factors of 89266 that divides 89266 without a remainder.

1, 2, 44633

Step-4: Factors of 89280

List of positive integer factors of 89280 that divides 89266 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 89266 and 89280. The biggest common factor number is the GCF number.
So the greatest common factor 89266 and 89280 is 2.

Also check out the Least Common Multiple of 89266 and 89280