What is the Greatest Common Factor of 84696 and 84714?

Greatest common factor (GCF) of 84696 and 84714 is 6.

GCF(84696,84714) = 6

We will now calculate the prime factors of 84696 and 84714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84696 and 84714.

How to find the GCF of 84696 and 84714?

We will first find the prime factorization of 84696 and 84714. After we will calculate the factors of 84696 and 84714 and find the biggest common factor number .

Step-1: Prime Factorization of 84696

Prime factors of 84696 are 2, 3, 3529. Prime factorization of 84696 in exponential form is:

84696 = 2³ × 3¹ × 3529¹

Step-2: 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-3: Factors of 84696

List of positive integer factors of 84696 that divides 84696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3529, 7058, 10587, 14116, 21174, 28232, 42348

Step-4: Factors of 84714

List of positive integer factors of 84714 that divides 84696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84696 and 84714. The biggest common factor number is the GCF number.
So the greatest common factor 84696 and 84714 is 6.

Also check out the Least Common Multiple of 84696 and 84714