What is the Greatest Common Factor of 77286 and 77304?

Greatest common factor (GCF) of 77286 and 77304 is 6.

GCF(77286,77304) = 6

We will now calculate the prime factors of 77286 and 77304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77286 and 77304.

How to find the GCF of 77286 and 77304?

We will first find the prime factorization of 77286 and 77304. After we will calculate the factors of 77286 and 77304 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 77304

Prime factors of 77304 are 2, 3, 3221. Prime factorization of 77304 in exponential form is:

77304 = 2³ × 3¹ × 3221¹

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 77304

List of positive integer factors of 77304 that divides 77286 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3221, 6442, 9663, 12884, 19326, 25768, 38652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77286 and 77304. The biggest common factor number is the GCF number.
So the greatest common factor 77286 and 77304 is 6.

Also check out the Least Common Multiple of 77286 and 77304