What is the Greatest Common Factor of 84810 and 84825?

Greatest common factor (GCF) of 84810 and 84825 is 15.

GCF(84810,84825) = 15

We will now calculate the prime factors of 84810 and 84825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84810 and 84825.

How to find the GCF of 84810 and 84825?

We will first find the prime factorization of 84810 and 84825. After we will calculate the factors of 84810 and 84825 and find the biggest common factor number .

Step-1: Prime Factorization of 84810

Prime factors of 84810 are 2, 3, 5, 11, 257. Prime factorization of 84810 in exponential form is:

84810 = 2¹ × 3¹ × 5¹ × 11¹ × 257¹

Step-2: Prime Factorization of 84825

Prime factors of 84825 are 3, 5, 13, 29. Prime factorization of 84825 in exponential form is:

84825 = 3² × 5² × 13¹ × 29¹

Step-3: Factors of 84810

List of positive integer factors of 84810 that divides 84810 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 257, 330, 514, 771, 1285, 1542, 2570, 2827, 3855, 5654, 7710, 8481, 14135, 16962, 28270, 42405

Step-4: Factors of 84825

List of positive integer factors of 84825 that divides 84810 without a remainder.

1, 3, 5, 9, 13, 15, 25, 29, 39, 45, 65, 75, 87, 117, 145, 195, 225, 261, 325, 377, 435, 585, 725, 975, 1131, 1305, 1885, 2175, 2925, 3393, 5655, 6525, 9425, 16965, 28275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84810 and 84825. The biggest common factor number is the GCF number.
So the greatest common factor 84810 and 84825 is 15.

Also check out the Least Common Multiple of 84810 and 84825