What is the Greatest Common Factor of 76680 and 76696?

Greatest common factor (GCF) of 76680 and 76696 is 8.

GCF(76680,76696) = 8

We will now calculate the prime factors of 76680 and 76696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76680 and 76696.

How to find the GCF of 76680 and 76696?

We will first find the prime factorization of 76680 and 76696. After we will calculate the factors of 76680 and 76696 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 76696

Prime factors of 76696 are 2, 9587. Prime factorization of 76696 in exponential form is:

76696 = 2³ × 9587¹

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 76696

List of positive integer factors of 76696 that divides 76680 without a remainder.

1, 2, 4, 8, 9587, 19174, 38348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76680 and 76696. The biggest common factor number is the GCF number.
So the greatest common factor 76680 and 76696 is 8.

Also check out the Least Common Multiple of 76680 and 76696