What is the Greatest Common Factor of 76842 and 76860?

Greatest common factor (GCF) of 76842 and 76860 is 18.

GCF(76842,76860) = 18

We will now calculate the prime factors of 76842 and 76860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76842 and 76860.

How to find the GCF of 76842 and 76860?

We will first find the prime factorization of 76842 and 76860. After we will calculate the factors of 76842 and 76860 and find the biggest common factor number .

Step-1: Prime Factorization of 76842

Prime factors of 76842 are 2, 3, 1423. Prime factorization of 76842 in exponential form is:

76842 = 2¹ × 3³ × 1423¹

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 76842

List of positive integer factors of 76842 that divides 76842 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1423, 2846, 4269, 8538, 12807, 25614, 38421

Step-4: Factors of 76860

List of positive integer factors of 76860 that divides 76842 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 76842 and 76860. The biggest common factor number is the GCF number.
So the greatest common factor 76842 and 76860 is 18.

Also check out the Least Common Multiple of 76842 and 76860