What is the Greatest Common Factor of 84616 and 84630?

Greatest common factor (GCF) of 84616 and 84630 is 14.

GCF(84616,84630) = 14

We will now calculate the prime factors of 84616 and 84630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84616 and 84630.

How to find the GCF of 84616 and 84630?

We will first find the prime factorization of 84616 and 84630. After we will calculate the factors of 84616 and 84630 and find the biggest common factor number .

Step-1: Prime Factorization of 84616

Prime factors of 84616 are 2, 7, 1511. Prime factorization of 84616 in exponential form is:

84616 = 2³ × 7¹ × 1511¹

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 84616

List of positive integer factors of 84616 that divides 84616 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1511, 3022, 6044, 10577, 12088, 21154, 42308

Step-4: Factors of 84630

List of positive integer factors of 84630 that divides 84616 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 84616 and 84630. The biggest common factor number is the GCF number.
So the greatest common factor 84616 and 84630 is 14.

Also check out the Least Common Multiple of 84616 and 84630