What is the Greatest Common Factor of 84465 and 84480?

Greatest common factor (GCF) of 84465 and 84480 is 15.

GCF(84465,84480) = 15

We will now calculate the prime factors of 84465 and 84480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84465 and 84480.

How to find the GCF of 84465 and 84480?

We will first find the prime factorization of 84465 and 84480. After we will calculate the factors of 84465 and 84480 and find the biggest common factor number .

Step-1: Prime Factorization of 84465

Prime factors of 84465 are 3, 5, 1877. Prime factorization of 84465 in exponential form is:

84465 = 3² × 5¹ × 1877¹

Step-2: 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-3: Factors of 84465

List of positive integer factors of 84465 that divides 84465 without a remainder.

1, 3, 5, 9, 15, 45, 1877, 5631, 9385, 16893, 28155

Step-4: Factors of 84480

List of positive integer factors of 84480 that divides 84465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84465 and 84480. The biggest common factor number is the GCF number.
So the greatest common factor 84465 and 84480 is 15.

Also check out the Least Common Multiple of 84465 and 84480