What is the Greatest Common Factor of 76669 and 76680?

Greatest common factor (GCF) of 76669 and 76680 is 1.

GCF(76669,76680) = 1

We will now calculate the prime factors of 76669 and 76680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76669 and 76680.

How to find the GCF of 76669 and 76680?

We will first find the prime factorization of 76669 and 76680. After we will calculate the factors of 76669 and 76680 and find the biggest common factor number .

Step-1: Prime Factorization of 76669

Prime factors of 76669 are 43, 1783. Prime factorization of 76669 in exponential form is:

76669 = 43¹ × 1783¹

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 76669

List of positive integer factors of 76669 that divides 76669 without a remainder.

1, 43, 1783

Step-4: Factors of 76680

List of positive integer factors of 76680 that divides 76669 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 76669 and 76680. The biggest common factor number is the GCF number.
So the greatest common factor 76669 and 76680 is 1.

Also check out the Least Common Multiple of 76669 and 76680