What is the Greatest Common Factor of 84617 and 84630?

Greatest common factor (GCF) of 84617 and 84630 is 13.

GCF(84617,84630) = 13

We will now calculate the prime factors of 84617 and 84630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84617 and 84630.

How to find the GCF of 84617 and 84630?

We will first find the prime factorization of 84617 and 84630. After we will calculate the factors of 84617 and 84630 and find the biggest common factor number .

Step-1: Prime Factorization of 84617

Prime factors of 84617 are 13, 23, 283. Prime factorization of 84617 in exponential form is:

84617 = 13¹ × 23¹ × 283¹

Step-2: 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-3: Factors of 84617

List of positive integer factors of 84617 that divides 84617 without a remainder.

1, 13, 23, 283, 299, 3679, 6509

Step-4: Factors of 84630

List of positive integer factors of 84630 that divides 84617 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84617 and 84630. The biggest common factor number is the GCF number.
So the greatest common factor 84617 and 84630 is 13.

Also check out the Least Common Multiple of 84617 and 84630