What is the Greatest Common Factor of 77286 and 77297?

Greatest common factor (GCF) of 77286 and 77297 is 11.

GCF(77286,77297) = 11

We will now calculate the prime factors of 77286 and 77297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77286 and 77297.

How to find the GCF of 77286 and 77297?

We will first find the prime factorization of 77286 and 77297. After we will calculate the factors of 77286 and 77297 and find the biggest common factor number .

Step-1: Prime Factorization of 77286

Prime factors of 77286 are 2, 3, 11, 1171. Prime factorization of 77286 in exponential form is:

77286 = 2¹ × 3¹ × 11¹ × 1171¹

Step-2: Prime Factorization of 77297

Prime factors of 77297 are 11, 7027. Prime factorization of 77297 in exponential form is:

77297 = 11¹ × 7027¹

Step-3: Factors of 77286

List of positive integer factors of 77286 that divides 77286 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1171, 2342, 3513, 7026, 12881, 25762, 38643

Step-4: Factors of 77297

List of positive integer factors of 77297 that divides 77286 without a remainder.

1, 11, 7027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77286 and 77297. The biggest common factor number is the GCF number.
So the greatest common factor 77286 and 77297 is 11.

Also check out the Least Common Multiple of 77286 and 77297