What is the Greatest Common Factor of 84630 and 84640?

Greatest common factor (GCF) of 84630 and 84640 is 10.

GCF(84630,84640) = 10

We will now calculate the prime factors of 84630 and 84640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84630 and 84640.

How to find the GCF of 84630 and 84640?

We will first find the prime factorization of 84630 and 84640. After we will calculate the factors of 84630 and 84640 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 84640

Prime factors of 84640 are 2, 5, 23. Prime factorization of 84640 in exponential form is:

84640 = 2⁵ × 5¹ × 23²

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 84640

List of positive integer factors of 84640 that divides 84630 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 529, 736, 920, 1058, 1840, 2116, 2645, 3680, 4232, 5290, 8464, 10580, 16928, 21160, 42320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84630 and 84640. The biggest common factor number is the GCF number.
So the greatest common factor 84630 and 84640 is 10.

Also check out the Least Common Multiple of 84630 and 84640