What is the Greatest Common Factor of 84690 and 84705?

Greatest common factor (GCF) of 84690 and 84705 is 15.

GCF(84690,84705) = 15

We will now calculate the prime factors of 84690 and 84705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84690 and 84705.

How to find the GCF of 84690 and 84705?

We will first find the prime factorization of 84690 and 84705. After we will calculate the factors of 84690 and 84705 and find the biggest common factor number .

Step-1: Prime Factorization of 84690

Prime factors of 84690 are 2, 3, 5, 941. Prime factorization of 84690 in exponential form is:

84690 = 2¹ × 3² × 5¹ × 941¹

Step-2: Prime Factorization of 84705

Prime factors of 84705 are 3, 5, 5647. Prime factorization of 84705 in exponential form is:

84705 = 3¹ × 5¹ × 5647¹

Step-3: Factors of 84690

List of positive integer factors of 84690 that divides 84690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 941, 1882, 2823, 4705, 5646, 8469, 9410, 14115, 16938, 28230, 42345

Step-4: Factors of 84705

List of positive integer factors of 84705 that divides 84690 without a remainder.

1, 3, 5, 15, 5647, 16941, 28235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84690 and 84705. The biggest common factor number is the GCF number.
So the greatest common factor 84690 and 84705 is 15.

Also check out the Least Common Multiple of 84690 and 84705