What is the Greatest Common Factor of 84777 and 84788?

Greatest common factor (GCF) of 84777 and 84788 is 11.

GCF(84777,84788) = 11

We will now calculate the prime factors of 84777 and 84788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84777 and 84788.

How to find the GCF of 84777 and 84788?

We will first find the prime factorization of 84777 and 84788. After we will calculate the factors of 84777 and 84788 and find the biggest common factor number .

Step-1: Prime Factorization of 84777

Prime factors of 84777 are 3, 7, 11, 367. Prime factorization of 84777 in exponential form is:

84777 = 3¹ × 7¹ × 11¹ × 367¹

Step-2: 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-3: Factors of 84777

List of positive integer factors of 84777 that divides 84777 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 367, 1101, 2569, 4037, 7707, 12111, 28259

Step-4: Factors of 84788

List of positive integer factors of 84788 that divides 84777 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84777 and 84788. The biggest common factor number is the GCF number.
So the greatest common factor 84777 and 84788 is 11.

Also check out the Least Common Multiple of 84777 and 84788