What is the Greatest Common Factor of 76680 and 76689?

Greatest common factor (GCF) of 76680 and 76689 is 9.

GCF(76680,76689) = 9

We will now calculate the prime factors of 76680 and 76689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76680 and 76689.

How to find the GCF of 76680 and 76689?

We will first find the prime factorization of 76680 and 76689. After we will calculate the factors of 76680 and 76689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76689

Prime factors of 76689 are 3, 8521. Prime factorization of 76689 in exponential form is:

76689 = 3² × 8521¹

Step-3: Factors of 76680

List of positive integer factors of 76680 that divides 76680 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

Step-4: Factors of 76689

List of positive integer factors of 76689 that divides 76680 without a remainder.

1, 3, 9, 8521, 25563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76680 and 76689. The biggest common factor number is the GCF number.
So the greatest common factor 76680 and 76689 is 9.

Also check out the Least Common Multiple of 76680 and 76689