What is the Greatest Common Factor of 76723 and 76734?

Greatest common factor (GCF) of 76723 and 76734 is 1.

GCF(76723,76734) = 1

We will now calculate the prime factors of 76723 and 76734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76723 and 76734.

How to find the GCF of 76723 and 76734?

We will first find the prime factorization of 76723 and 76734. After we will calculate the factors of 76723 and 76734 and find the biggest common factor number .

Step-1: Prime Factorization of 76723

Prime factors of 76723 are 73, 1051. Prime factorization of 76723 in exponential form is:

76723 = 73¹ × 1051¹

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 76723

List of positive integer factors of 76723 that divides 76723 without a remainder.

1, 73, 1051

Step-4: Factors of 76734

List of positive integer factors of 76734 that divides 76723 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 76723 and 76734. The biggest common factor number is the GCF number.
So the greatest common factor 76723 and 76734 is 1.

Also check out the Least Common Multiple of 76723 and 76734