What is the Greatest Common Factor of 84630 and 84643?

Greatest common factor (GCF) of 84630 and 84643 is 13.

GCF(84630,84643) = 13

We will now calculate the prime factors of 84630 and 84643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84630 and 84643.

How to find the GCF of 84630 and 84643?

We will first find the prime factorization of 84630 and 84643. After we will calculate the factors of 84630 and 84643 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 84643

Prime factors of 84643 are 13, 17, 383. Prime factorization of 84643 in exponential form is:

84643 = 13¹ × 17¹ × 383¹

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 84643

List of positive integer factors of 84643 that divides 84630 without a remainder.

1, 13, 17, 221, 383, 4979, 6511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84630 and 84643. The biggest common factor number is the GCF number.
So the greatest common factor 84630 and 84643 is 13.

Also check out the Least Common Multiple of 84630 and 84643