What is the Greatest Common Factor of 76734 and 76743?

Greatest common factor (GCF) of 76734 and 76743 is 9.

GCF(76734,76743) = 9

We will now calculate the prime factors of 76734 and 76743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76734 and 76743.

How to find the GCF of 76734 and 76743?

We will first find the prime factorization of 76734 and 76743. After we will calculate the factors of 76734 and 76743 and find the biggest common factor number .

Step-1: Prime Factorization of 76734

Prime factors of 76734 are 2, 3, 7, 29. Prime factorization of 76734 in exponential form is:

76734 = 2¹ × 3³ × 7² × 29¹

Step-2: Prime Factorization of 76743

Prime factors of 76743 are 3, 8527. Prime factorization of 76743 in exponential form is:

76743 = 3² × 8527¹

Step-3: Factors of 76734

List of positive integer factors of 76734 that divides 76734 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 49, 54, 58, 63, 87, 98, 126, 147, 174, 189, 203, 261, 294, 378, 406, 441, 522, 609, 783, 882, 1218, 1323, 1421, 1566, 1827, 2646, 2842, 3654, 4263, 5481, 8526, 10962, 12789, 25578, 38367

Step-4: Factors of 76743

List of positive integer factors of 76743 that divides 76734 without a remainder.

1, 3, 9, 8527, 25581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76734 and 76743. The biggest common factor number is the GCF number.
So the greatest common factor 76734 and 76743 is 9.

Also check out the Least Common Multiple of 76734 and 76743