What is the Greatest Common Factor of 84480 and 84500?

Greatest common factor (GCF) of 84480 and 84500 is 20.

GCF(84480,84500) = 20

We will now calculate the prime factors of 84480 and 84500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84480 and 84500.

How to find the GCF of 84480 and 84500?

We will first find the prime factorization of 84480 and 84500. After we will calculate the factors of 84480 and 84500 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 84500

Prime factors of 84500 are 2, 5, 13. Prime factorization of 84500 in exponential form is:

84500 = 2² × 5³ × 13²

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 84500

List of positive integer factors of 84500 that divides 84480 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 169, 250, 260, 325, 338, 500, 650, 676, 845, 1300, 1625, 1690, 3250, 3380, 4225, 6500, 8450, 16900, 21125, 42250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84480 and 84500. The biggest common factor number is the GCF number.
So the greatest common factor 84480 and 84500 is 20.

Also check out the Least Common Multiple of 84480 and 84500