What is the Greatest Common Factor of 76986 and 77004?

Greatest common factor (GCF) of 76986 and 77004 is 18.

GCF(76986,77004) = 18

We will now calculate the prime factors of 76986 and 77004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76986 and 77004.

How to find the GCF of 76986 and 77004?

We will first find the prime factorization of 76986 and 77004. After we will calculate the factors of 76986 and 77004 and find the biggest common factor number .

Step-1: Prime Factorization of 76986

Prime factors of 76986 are 2, 3, 7, 13, 47. Prime factorization of 76986 in exponential form is:

76986 = 2¹ × 3² × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 77004

Prime factors of 77004 are 2, 3, 23, 31. Prime factorization of 77004 in exponential form is:

77004 = 2² × 3³ × 23¹ × 31¹

Step-3: Factors of 76986

List of positive integer factors of 76986 that divides 76986 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 47, 63, 78, 91, 94, 117, 126, 141, 182, 234, 273, 282, 329, 423, 546, 611, 658, 819, 846, 987, 1222, 1638, 1833, 1974, 2961, 3666, 4277, 5499, 5922, 8554, 10998, 12831, 25662, 38493

Step-4: Factors of 77004

List of positive integer factors of 77004 that divides 76986 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 31, 36, 46, 54, 62, 69, 92, 93, 108, 124, 138, 186, 207, 276, 279, 372, 414, 558, 621, 713, 828, 837, 1116, 1242, 1426, 1674, 2139, 2484, 2852, 3348, 4278, 6417, 8556, 12834, 19251, 25668, 38502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76986 and 77004. The biggest common factor number is the GCF number.
So the greatest common factor 76986 and 77004 is 18.

Also check out the Least Common Multiple of 76986 and 77004