What is the Greatest Common Factor of 84730 and 84735?

Greatest common factor (GCF) of 84730 and 84735 is 5.

GCF(84730,84735) = 5

We will now calculate the prime factors of 84730 and 84735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84730 and 84735.

How to find the GCF of 84730 and 84735?

We will first find the prime factorization of 84730 and 84735. After we will calculate the factors of 84730 and 84735 and find the biggest common factor number .

Step-1: Prime Factorization of 84730

Prime factors of 84730 are 2, 5, 37, 229. Prime factorization of 84730 in exponential form is:

84730 = 2¹ × 5¹ × 37¹ × 229¹

Step-2: Prime Factorization of 84735

Prime factors of 84735 are 3, 5, 7, 269. Prime factorization of 84735 in exponential form is:

84735 = 3² × 5¹ × 7¹ × 269¹

Step-3: Factors of 84730

List of positive integer factors of 84730 that divides 84730 without a remainder.

1, 2, 5, 10, 37, 74, 185, 229, 370, 458, 1145, 2290, 8473, 16946, 42365

Step-4: Factors of 84735

List of positive integer factors of 84735 that divides 84730 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 269, 315, 807, 1345, 1883, 2421, 4035, 5649, 9415, 12105, 16947, 28245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84730 and 84735. The biggest common factor number is the GCF number.
So the greatest common factor 84730 and 84735 is 5.

Also check out the Least Common Multiple of 84730 and 84735