What is the Greatest Common Factor of 84788 and 84799?

Greatest common factor (GCF) of 84788 and 84799 is 11.

GCF(84788,84799) = 11

We will now calculate the prime factors of 84788 and 84799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84788 and 84799.

How to find the GCF of 84788 and 84799?

We will first find the prime factorization of 84788 and 84799. After we will calculate the factors of 84788 and 84799 and find the biggest common factor number .

Step-1: Prime Factorization of 84788

Prime factors of 84788 are 2, 11, 41, 47. Prime factorization of 84788 in exponential form is:

84788 = 2² × 11¹ × 41¹ × 47¹

Step-2: Prime Factorization of 84799

Prime factors of 84799 are 11, 13, 593. Prime factorization of 84799 in exponential form is:

84799 = 11¹ × 13¹ × 593¹

Step-3: Factors of 84788

List of positive integer factors of 84788 that divides 84788 without a remainder.

1, 2, 4, 11, 22, 41, 44, 47, 82, 94, 164, 188, 451, 517, 902, 1034, 1804, 1927, 2068, 3854, 7708, 21197, 42394

Step-4: Factors of 84799

List of positive integer factors of 84799 that divides 84788 without a remainder.

1, 11, 13, 143, 593, 6523, 7709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84788 and 84799. The biggest common factor number is the GCF number.
So the greatest common factor 84788 and 84799 is 11.

Also check out the Least Common Multiple of 84788 and 84799