What is the Greatest Common Factor of 77286 and 77292?

Greatest common factor (GCF) of 77286 and 77292 is 6.

GCF(77286,77292) = 6

We will now calculate the prime factors of 77286 and 77292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77286 and 77292.

How to find the GCF of 77286 and 77292?

We will first find the prime factorization of 77286 and 77292. After we will calculate the factors of 77286 and 77292 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 77292

Prime factors of 77292 are 2, 3, 19, 113. Prime factorization of 77292 in exponential form is:

77292 = 2² × 3² × 19¹ × 113¹

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 77292

List of positive integer factors of 77292 that divides 77286 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 113, 114, 171, 226, 228, 339, 342, 452, 678, 684, 1017, 1356, 2034, 2147, 4068, 4294, 6441, 8588, 12882, 19323, 25764, 38646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77286 and 77292. The biggest common factor number is the GCF number.
So the greatest common factor 77286 and 77292 is 6.

Also check out the Least Common Multiple of 77286 and 77292