What is the Greatest Common Factor of 84783 and 84789?

Greatest common factor (GCF) of 84783 and 84789 is 3.

GCF(84783,84789) = 3

We will now calculate the prime factors of 84783 and 84789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84783 and 84789.

How to find the GCF of 84783 and 84789?

We will first find the prime factorization of 84783 and 84789. After we will calculate the factors of 84783 and 84789 and find the biggest common factor number .

Step-1: Prime Factorization of 84783

Prime factors of 84783 are 3, 59, 479. Prime factorization of 84783 in exponential form is:

84783 = 3¹ × 59¹ × 479¹

Step-2: Prime Factorization of 84789

Prime factors of 84789 are 3, 9421. Prime factorization of 84789 in exponential form is:

84789 = 3² × 9421¹

Step-3: Factors of 84783

List of positive integer factors of 84783 that divides 84783 without a remainder.

1, 3, 59, 177, 479, 1437, 28261

Step-4: Factors of 84789

List of positive integer factors of 84789 that divides 84783 without a remainder.

1, 3, 9, 9421, 28263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84783 and 84789. The biggest common factor number is the GCF number.
So the greatest common factor 84783 and 84789 is 3.

Also check out the Least Common Multiple of 84783 and 84789