What is the Greatest Common Factor of 84756 and 84768?

Greatest common factor (GCF) of 84756 and 84768 is 12.

GCF(84756,84768) = 12

We will now calculate the prime factors of 84756 and 84768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84756 and 84768.

How to find the GCF of 84756 and 84768?

We will first find the prime factorization of 84756 and 84768. After we will calculate the factors of 84756 and 84768 and find the biggest common factor number .

Step-1: Prime Factorization of 84756

Prime factors of 84756 are 2, 3, 7, 1009. Prime factorization of 84756 in exponential form is:

84756 = 2² × 3¹ × 7¹ × 1009¹

Step-2: Prime Factorization of 84768

Prime factors of 84768 are 2, 3, 883. Prime factorization of 84768 in exponential form is:

84768 = 2⁵ × 3¹ × 883¹

Step-3: Factors of 84756

List of positive integer factors of 84756 that divides 84756 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1009, 2018, 3027, 4036, 6054, 7063, 12108, 14126, 21189, 28252, 42378

Step-4: Factors of 84768

List of positive integer factors of 84768 that divides 84756 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 883, 1766, 2649, 3532, 5298, 7064, 10596, 14128, 21192, 28256, 42384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84756 and 84768. The biggest common factor number is the GCF number.
So the greatest common factor 84756 and 84768 is 12.

Also check out the Least Common Multiple of 84756 and 84768