What is the Greatest Common Factor of 76764 and 76772?

Greatest common factor (GCF) of 76764 and 76772 is 4.

GCF(76764,76772) = 4

We will now calculate the prime factors of 76764 and 76772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76764 and 76772.

How to find the GCF of 76764 and 76772?

We will first find the prime factorization of 76764 and 76772. After we will calculate the factors of 76764 and 76772 and find the biggest common factor number .

Step-1: Prime Factorization of 76764

Prime factors of 76764 are 2, 3, 6397. Prime factorization of 76764 in exponential form is:

76764 = 2² × 3¹ × 6397¹

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 76764

List of positive integer factors of 76764 that divides 76764 without a remainder.

1, 2, 3, 4, 6, 12, 6397, 12794, 19191, 25588, 38382

Step-4: Factors of 76772

List of positive integer factors of 76772 that divides 76764 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 76764 and 76772. The biggest common factor number is the GCF number.
So the greatest common factor 76764 and 76772 is 4.

Also check out the Least Common Multiple of 76764 and 76772