What is the Greatest Common Factor of 84760 and 84773?

Greatest common factor (GCF) of 84760 and 84773 is 13.

GCF(84760,84773) = 13

We will now calculate the prime factors of 84760 and 84773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84760 and 84773.

How to find the GCF of 84760 and 84773?

We will first find the prime factorization of 84760 and 84773. After we will calculate the factors of 84760 and 84773 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84773

Prime factors of 84773 are 13, 6521. Prime factorization of 84773 in exponential form is:

84773 = 13¹ × 6521¹

Step-3: Factors of 84760

List of positive integer factors of 84760 that divides 84760 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

Step-4: Factors of 84773

List of positive integer factors of 84773 that divides 84760 without a remainder.

1, 13, 6521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84760 and 84773. The biggest common factor number is the GCF number.
So the greatest common factor 84760 and 84773 is 13.

Also check out the Least Common Multiple of 84760 and 84773