What is the Greatest Common Factor of 84645 and 84664?

Greatest common factor (GCF) of 84645 and 84664 is 19.

GCF(84645,84664) = 19

We will now calculate the prime factors of 84645 and 84664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84645 and 84664.

How to find the GCF of 84645 and 84664?

We will first find the prime factorization of 84645 and 84664. After we will calculate the factors of 84645 and 84664 and find the biggest common factor number .

Step-1: Prime Factorization of 84645

Prime factors of 84645 are 3, 5, 11, 19. Prime factorization of 84645 in exponential form is:

84645 = 3⁴ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 84664

Prime factors of 84664 are 2, 19, 557. Prime factorization of 84664 in exponential form is:

84664 = 2³ × 19¹ × 557¹

Step-3: Factors of 84645

List of positive integer factors of 84645 that divides 84645 without a remainder.

1, 3, 5, 9, 11, 15, 19, 27, 33, 45, 55, 57, 81, 95, 99, 135, 165, 171, 209, 285, 297, 405, 495, 513, 627, 855, 891, 1045, 1485, 1539, 1881, 2565, 3135, 4455, 5643, 7695, 9405, 16929, 28215

Step-4: Factors of 84664

List of positive integer factors of 84664 that divides 84645 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 557, 1114, 2228, 4456, 10583, 21166, 42332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84645 and 84664. The biggest common factor number is the GCF number.
So the greatest common factor 84645 and 84664 is 19.

Also check out the Least Common Multiple of 84645 and 84664