What is the Greatest Common Factor of 76729 and 76734?

Greatest common factor (GCF) of 76729 and 76734 is 1.

GCF(76729,76734) = 1

We will now calculate the prime factors of 76729 and 76734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76729 and 76734.

How to find the GCF of 76729 and 76734?

We will first find the prime factorization of 76729 and 76734. After we will calculate the factors of 76729 and 76734 and find the biggest common factor number .

Step-1: Prime Factorization of 76729

Prime factors of 76729 are 277. Prime factorization of 76729 in exponential form is:

76729 = 277²

Step-2: 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-3: Factors of 76729

List of positive integer factors of 76729 that divides 76729 without a remainder.

1, 277

Step-4: Factors of 76734

List of positive integer factors of 76734 that divides 76729 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76729 and 76734. The biggest common factor number is the GCF number.
So the greatest common factor 76729 and 76734 is 1.

Also check out the Least Common Multiple of 76729 and 76734