What is the Greatest Common Factor of 76755 and 76772?

Greatest common factor (GCF) of 76755 and 76772 is 17.

GCF(76755,76772) = 17

We will now calculate the prime factors of 76755 and 76772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76755 and 76772.

How to find the GCF of 76755 and 76772?

We will first find the prime factorization of 76755 and 76772. After we will calculate the factors of 76755 and 76772 and find the biggest common factor number .

Step-1: Prime Factorization of 76755

Prime factors of 76755 are 3, 5, 7, 17, 43. Prime factorization of 76755 in exponential form is:

76755 = 3¹ × 5¹ × 7¹ × 17¹ × 43¹

Step-2: Prime Factorization of 76772

Prime factors of 76772 are 2, 17, 1129. Prime factorization of 76772 in exponential form is:

76772 = 2² × 17¹ × 1129¹

Step-3: Factors of 76755

List of positive integer factors of 76755 that divides 76755 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 43, 51, 85, 105, 119, 129, 215, 255, 301, 357, 595, 645, 731, 903, 1505, 1785, 2193, 3655, 4515, 5117, 10965, 15351, 25585

Step-4: Factors of 76772

List of positive integer factors of 76772 that divides 76755 without a remainder.

1, 2, 4, 17, 34, 68, 1129, 2258, 4516, 19193, 38386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76755 and 76772. The biggest common factor number is the GCF number.
So the greatest common factor 76755 and 76772 is 17.

Also check out the Least Common Multiple of 76755 and 76772