What is the Greatest Common Factor of 30716 and 30723?

Greatest common factor (GCF) of 30716 and 30723 is 7.

GCF(30716,30723) = 7

We will now calculate the prime factors of 30716 and 30723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30716 and 30723.

How to find the GCF of 30716 and 30723?

We will first find the prime factorization of 30716 and 30723. After we will calculate the factors of 30716 and 30723 and find the biggest common factor number .

Step-1: Prime Factorization of 30716

Prime factors of 30716 are 2, 7, 1097. Prime factorization of 30716 in exponential form is:

30716 = 2² × 7¹ × 1097¹

Step-2: Prime Factorization of 30723

Prime factors of 30723 are 3, 7, 11, 19. Prime factorization of 30723 in exponential form is:

30723 = 3¹ × 7² × 11¹ × 19¹

Step-3: Factors of 30716

List of positive integer factors of 30716 that divides 30716 without a remainder.

1, 2, 4, 7, 14, 28, 1097, 2194, 4388, 7679, 15358

Step-4: Factors of 30723

List of positive integer factors of 30723 that divides 30716 without a remainder.

1, 3, 7, 11, 19, 21, 33, 49, 57, 77, 133, 147, 209, 231, 399, 539, 627, 931, 1463, 1617, 2793, 4389, 10241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30716 and 30723. The biggest common factor number is the GCF number.
So the greatest common factor 30716 and 30723 is 7.

Also check out the Least Common Multiple of 30716 and 30723