What is the Greatest Common Factor of 89280 and 89297?

Greatest common factor (GCF) of 89280 and 89297 is 1.

GCF(89280,89297) = 1

We will now calculate the prime factors of 89280 and 89297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89280 and 89297.

How to find the GCF of 89280 and 89297?

We will first find the prime factorization of 89280 and 89297. After we will calculate the factors of 89280 and 89297 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 89297

Prime factors of 89297 are 13, 6869. Prime factorization of 89297 in exponential form is:

89297 = 13¹ × 6869¹

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 89297

List of positive integer factors of 89297 that divides 89280 without a remainder.

1, 13, 6869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89280 and 89297. The biggest common factor number is the GCF number.
So the greatest common factor 89280 and 89297 is 1.

Also check out the Least Common Multiple of 89280 and 89297