What is the Greatest Common Factor of 76860 and 76866?

Greatest common factor (GCF) of 76860 and 76866 is 6.

GCF(76860,76866) = 6

We will now calculate the prime factors of 76860 and 76866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76860 and 76866.

How to find the GCF of 76860 and 76866?

We will first find the prime factorization of 76860 and 76866. After we will calculate the factors of 76860 and 76866 and find the biggest common factor number .

Step-1: Prime Factorization of 76860

Prime factors of 76860 are 2, 3, 5, 7, 61. Prime factorization of 76860 in exponential form is:

76860 = 2² × 3² × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 76866

Prime factors of 76866 are 2, 3, 23, 557. Prime factorization of 76866 in exponential form is:

76866 = 2¹ × 3¹ × 23¹ × 557¹

Step-3: Factors of 76860

List of positive integer factors of 76860 that divides 76860 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 61, 63, 70, 84, 90, 105, 122, 126, 140, 180, 183, 210, 244, 252, 305, 315, 366, 420, 427, 549, 610, 630, 732, 854, 915, 1098, 1220, 1260, 1281, 1708, 1830, 2135, 2196, 2562, 2745, 3660, 3843, 4270, 5124, 5490, 6405, 7686, 8540, 10980, 12810, 15372, 19215, 25620, 38430

Step-4: Factors of 76866

List of positive integer factors of 76866 that divides 76860 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 557, 1114, 1671, 3342, 12811, 25622, 38433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76860 and 76866. The biggest common factor number is the GCF number.
So the greatest common factor 76860 and 76866 is 6.

Also check out the Least Common Multiple of 76860 and 76866