What is the Greatest Common Factor of 77286 and 77301?

Greatest common factor (GCF) of 77286 and 77301 is 3.

GCF(77286,77301) = 3

We will now calculate the prime factors of 77286 and 77301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77286 and 77301.

How to find the GCF of 77286 and 77301?

We will first find the prime factorization of 77286 and 77301. After we will calculate the factors of 77286 and 77301 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 77301

Prime factors of 77301 are 3, 7, 409. Prime factorization of 77301 in exponential form is:

77301 = 3³ × 7¹ × 409¹

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 77301

List of positive integer factors of 77301 that divides 77286 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 409, 1227, 2863, 3681, 8589, 11043, 25767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77286 and 77301. The biggest common factor number is the GCF number.
So the greatest common factor 77286 and 77301 is 3.

Also check out the Least Common Multiple of 77286 and 77301