What is the Greatest Common Factor of 84480 and 84499?

Greatest common factor (GCF) of 84480 and 84499 is 1.

GCF(84480,84499) = 1

We will now calculate the prime factors of 84480 and 84499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84480 and 84499.

How to find the GCF of 84480 and 84499?

We will first find the prime factorization of 84480 and 84499. After we will calculate the factors of 84480 and 84499 and find the biggest common factor number .

Step-1: Prime Factorization of 84480

Prime factors of 84480 are 2, 3, 5, 11. Prime factorization of 84480 in exponential form is:

84480 = 2⁹ × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 84499

Prime factors of 84499 are 84499. Prime factorization of 84499 in exponential form is:

84499 = 84499¹

Step-3: Factors of 84480

List of positive integer factors of 84480 that divides 84480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 256, 264, 320, 330, 352, 384, 440, 480, 512, 528, 640, 660, 704, 768, 880, 960, 1056, 1280, 1320, 1408, 1536, 1760, 1920, 2112, 2560, 2640, 2816, 3520, 3840, 4224, 5280, 5632, 7040, 7680, 8448, 10560, 14080, 16896, 21120, 28160, 42240

Step-4: Factors of 84499

List of positive integer factors of 84499 that divides 84480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84480 and 84499. The biggest common factor number is the GCF number.
So the greatest common factor 84480 and 84499 is 1.

Also check out the Least Common Multiple of 84480 and 84499