What is the Greatest Common Factor of 84469 and 84480?

Greatest common factor (GCF) of 84469 and 84480 is 11.

GCF(84469,84480) = 11

We will now calculate the prime factors of 84469 and 84480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84469 and 84480.

How to find the GCF of 84469 and 84480?

We will first find the prime factorization of 84469 and 84480. After we will calculate the factors of 84469 and 84480 and find the biggest common factor number .

Step-1: Prime Factorization of 84469

Prime factors of 84469 are 7, 11, 1097. Prime factorization of 84469 in exponential form is:

84469 = 7¹ × 11¹ × 1097¹

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 84469

List of positive integer factors of 84469 that divides 84469 without a remainder.

1, 7, 11, 77, 1097, 7679, 12067

Step-4: Factors of 84480

List of positive integer factors of 84480 that divides 84469 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 84469 and 84480. The biggest common factor number is the GCF number.
So the greatest common factor 84469 and 84480 is 11.

Also check out the Least Common Multiple of 84469 and 84480