What is the Greatest Common Factor of 76845 and 76860?

Greatest common factor (GCF) of 76845 and 76860 is 15.

GCF(76845,76860) = 15

We will now calculate the prime factors of 76845 and 76860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76845 and 76860.

How to find the GCF of 76845 and 76860?

We will first find the prime factorization of 76845 and 76860. After we will calculate the factors of 76845 and 76860 and find the biggest common factor number .

Step-1: Prime Factorization of 76845

Prime factors of 76845 are 3, 5, 47, 109. Prime factorization of 76845 in exponential form is:

76845 = 3¹ × 5¹ × 47¹ × 109¹

Step-2: 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-3: Factors of 76845

List of positive integer factors of 76845 that divides 76845 without a remainder.

1, 3, 5, 15, 47, 109, 141, 235, 327, 545, 705, 1635, 5123, 15369, 25615

Step-4: Factors of 76860

List of positive integer factors of 76860 that divides 76845 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76845 and 76860. The biggest common factor number is the GCF number.
So the greatest common factor 76845 and 76860 is 15.

Also check out the Least Common Multiple of 76845 and 76860