What is the Greatest Common Factor of 84738 and 84747?

Greatest common factor (GCF) of 84738 and 84747 is 3.

GCF(84738,84747) = 3

We will now calculate the prime factors of 84738 and 84747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84738 and 84747.

How to find the GCF of 84738 and 84747?

We will first find the prime factorization of 84738 and 84747. After we will calculate the factors of 84738 and 84747 and find the biggest common factor number .

Step-1: Prime Factorization of 84738

Prime factors of 84738 are 2, 3, 29, 487. Prime factorization of 84738 in exponential form is:

84738 = 2¹ × 3¹ × 29¹ × 487¹

Step-2: Prime Factorization of 84747

Prime factors of 84747 are 3, 13, 41, 53. Prime factorization of 84747 in exponential form is:

84747 = 3¹ × 13¹ × 41¹ × 53¹

Step-3: Factors of 84738

List of positive integer factors of 84738 that divides 84738 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 487, 974, 1461, 2922, 14123, 28246, 42369

Step-4: Factors of 84747

List of positive integer factors of 84747 that divides 84738 without a remainder.

1, 3, 13, 39, 41, 53, 123, 159, 533, 689, 1599, 2067, 2173, 6519, 28249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84738 and 84747. The biggest common factor number is the GCF number.
So the greatest common factor 84738 and 84747 is 3.

Also check out the Least Common Multiple of 84738 and 84747