What is the Greatest Common Factor of 84747 and 84760?

Greatest common factor (GCF) of 84747 and 84760 is 13.

GCF(84747,84760) = 13

We will now calculate the prime factors of 84747 and 84760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84747 and 84760.

How to find the GCF of 84747 and 84760?

We will first find the prime factorization of 84747 and 84760. After we will calculate the factors of 84747 and 84760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84760

Prime factors of 84760 are 2, 5, 13, 163. Prime factorization of 84760 in exponential form is:

84760 = 2³ × 5¹ × 13¹ × 163¹

Step-3: Factors of 84747

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

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

Step-4: Factors of 84760

List of positive integer factors of 84760 that divides 84747 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 163, 260, 326, 520, 652, 815, 1304, 1630, 2119, 3260, 4238, 6520, 8476, 10595, 16952, 21190, 42380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84747 and 84760. The biggest common factor number is the GCF number.
So the greatest common factor 84747 and 84760 is 13.

Also check out the Least Common Multiple of 84747 and 84760