What is the Greatest Common Factor of 84630 and 84645?

Greatest common factor (GCF) of 84630 and 84645 is 15.

GCF(84630,84645) = 15

We will now calculate the prime factors of 84630 and 84645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84630 and 84645.

How to find the GCF of 84630 and 84645?

We will first find the prime factorization of 84630 and 84645. After we will calculate the factors of 84630 and 84645 and find the biggest common factor number .

Step-1: Prime Factorization of 84630

Prime factors of 84630 are 2, 3, 5, 7, 13, 31. Prime factorization of 84630 in exponential form is:

84630 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 31¹

Step-2: 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-3: Factors of 84630

List of positive integer factors of 84630 that divides 84630 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 31, 35, 39, 42, 62, 65, 70, 78, 91, 93, 105, 130, 155, 182, 186, 195, 210, 217, 273, 310, 390, 403, 434, 455, 465, 546, 651, 806, 910, 930, 1085, 1209, 1302, 1365, 2015, 2170, 2418, 2730, 2821, 3255, 4030, 5642, 6045, 6510, 8463, 12090, 14105, 16926, 28210, 42315

Step-4: Factors of 84645

List of positive integer factors of 84645 that divides 84630 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84630 and 84645. The biggest common factor number is the GCF number.
So the greatest common factor 84630 and 84645 is 15.

Also check out the Least Common Multiple of 84630 and 84645