What is the Greatest Common Factor of 84714 and 84720?

Greatest common factor (GCF) of 84714 and 84720 is 6.

GCF(84714,84720) = 6

We will now calculate the prime factors of 84714 and 84720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84714 and 84720.

How to find the GCF of 84714 and 84720?

We will first find the prime factorization of 84714 and 84720. After we will calculate the factors of 84714 and 84720 and find the biggest common factor number .

Step-1: Prime Factorization of 84714

Prime factors of 84714 are 2, 3, 7, 2017. Prime factorization of 84714 in exponential form is:

84714 = 2¹ × 3¹ × 7¹ × 2017¹

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 84714

List of positive integer factors of 84714 that divides 84714 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2017, 4034, 6051, 12102, 14119, 28238, 42357

Step-4: Factors of 84720

List of positive integer factors of 84720 that divides 84714 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 84714 and 84720. The biggest common factor number is the GCF number.
So the greatest common factor 84714 and 84720 is 6.

Also check out the Least Common Multiple of 84714 and 84720