What is the Greatest Common Factor of 76668 and 76680?

Greatest common factor (GCF) of 76668 and 76680 is 12.

GCF(76668,76680) = 12

We will now calculate the prime factors of 76668 and 76680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76668 and 76680.

How to find the GCF of 76668 and 76680?

We will first find the prime factorization of 76668 and 76680. After we will calculate the factors of 76668 and 76680 and find the biggest common factor number .

Step-1: Prime Factorization of 76668

Prime factors of 76668 are 2, 3, 6389. Prime factorization of 76668 in exponential form is:

76668 = 2² × 3¹ × 6389¹

Step-2: Prime Factorization of 76680

Prime factors of 76680 are 2, 3, 5, 71. Prime factorization of 76680 in exponential form is:

76680 = 2³ × 3³ × 5¹ × 71¹

Step-3: Factors of 76668

List of positive integer factors of 76668 that divides 76668 without a remainder.

1, 2, 3, 4, 6, 12, 6389, 12778, 19167, 25556, 38334

Step-4: Factors of 76680

List of positive integer factors of 76680 that divides 76668 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 71, 72, 90, 108, 120, 135, 142, 180, 213, 216, 270, 284, 355, 360, 426, 540, 568, 639, 710, 852, 1065, 1080, 1278, 1420, 1704, 1917, 2130, 2556, 2840, 3195, 3834, 4260, 5112, 6390, 7668, 8520, 9585, 12780, 15336, 19170, 25560, 38340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76668 and 76680. The biggest common factor number is the GCF number.
So the greatest common factor 76668 and 76680 is 12.

Also check out the Least Common Multiple of 76668 and 76680