What is the Greatest Common Factor of 84630 and 84636?

Greatest common factor (GCF) of 84630 and 84636 is 6.

GCF(84630,84636) = 6

We will now calculate the prime factors of 84630 and 84636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84630 and 84636.

How to find the GCF of 84630 and 84636?

We will first find the prime factorization of 84630 and 84636. After we will calculate the factors of 84630 and 84636 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 84636

Prime factors of 84636 are 2, 3, 2351. Prime factorization of 84636 in exponential form is:

84636 = 2² × 3² × 2351¹

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 84636

List of positive integer factors of 84636 that divides 84630 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2351, 4702, 7053, 9404, 14106, 21159, 28212, 42318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84630 and 84636. The biggest common factor number is the GCF number.
So the greatest common factor 84630 and 84636 is 6.

Also check out the Least Common Multiple of 84630 and 84636