What is the Greatest Common Factor of 84630 and 84638?

Greatest common factor (GCF) of 84630 and 84638 is 2.

GCF(84630,84638) = 2

We will now calculate the prime factors of 84630 and 84638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84630 and 84638.

How to find the GCF of 84630 and 84638?

We will first find the prime factorization of 84630 and 84638. After we will calculate the factors of 84630 and 84638 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 84638

Prime factors of 84638 are 2, 101, 419. Prime factorization of 84638 in exponential form is:

84638 = 2¹ × 101¹ × 419¹

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 84638

List of positive integer factors of 84638 that divides 84630 without a remainder.

1, 2, 101, 202, 419, 838, 42319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84630 and 84638. The biggest common factor number is the GCF number.
So the greatest common factor 84630 and 84638 is 2.

Also check out the Least Common Multiple of 84630 and 84638