What is the Greatest Common Factor of 84705 and 84720?

Greatest common factor (GCF) of 84705 and 84720 is 15.

GCF(84705,84720) = 15

We will now calculate the prime factors of 84705 and 84720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84705 and 84720.

How to find the GCF of 84705 and 84720?

We will first find the prime factorization of 84705 and 84720. After we will calculate the factors of 84705 and 84720 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84720

Prime factors of 84720 are 2, 3, 5, 353. Prime factorization of 84720 in exponential form is:

84720 = 2⁴ × 3¹ × 5¹ × 353¹

Step-3: Factors of 84705

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

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

Step-4: Factors of 84720

List of positive integer factors of 84720 that divides 84705 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 353, 706, 1059, 1412, 1765, 2118, 2824, 3530, 4236, 5295, 5648, 7060, 8472, 10590, 14120, 16944, 21180, 28240, 42360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84705 and 84720. The biggest common factor number is the GCF number.
So the greatest common factor 84705 and 84720 is 15.

Also check out the Least Common Multiple of 84705 and 84720