What is the Greatest Common Factor of 76680 and 76688?

Greatest common factor (GCF) of 76680 and 76688 is 8.

GCF(76680,76688) = 8

We will now calculate the prime factors of 76680 and 76688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76680 and 76688.

How to find the GCF of 76680 and 76688?

We will first find the prime factorization of 76680 and 76688. After we will calculate the factors of 76680 and 76688 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 76688

Prime factors of 76688 are 2, 4793. Prime factorization of 76688 in exponential form is:

76688 = 2⁴ × 4793¹

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 76688

List of positive integer factors of 76688 that divides 76680 without a remainder.

1, 2, 4, 8, 16, 4793, 9586, 19172, 38344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76680 and 76688. The biggest common factor number is the GCF number.
So the greatest common factor 76680 and 76688 is 8.

Also check out the Least Common Multiple of 76680 and 76688