What is the Greatest Common Factor of 59712 and 59723?

Greatest common factor (GCF) of 59712 and 59723 is 1.

GCF(59712,59723) = 1

We will now calculate the prime factors of 59712 and 59723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59712 and 59723.

How to find the GCF of 59712 and 59723?

We will first find the prime factorization of 59712 and 59723. After we will calculate the factors of 59712 and 59723 and find the biggest common factor number .

Step-1: Prime Factorization of 59712

Prime factors of 59712 are 2, 3, 311. Prime factorization of 59712 in exponential form is:

59712 = 2⁶ × 3¹ × 311¹

Step-2: Prime Factorization of 59723

Prime factors of 59723 are 59723. Prime factorization of 59723 in exponential form is:

59723 = 59723¹

Step-3: Factors of 59712

List of positive integer factors of 59712 that divides 59712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928, 19904, 29856

Step-4: Factors of 59723

List of positive integer factors of 59723 that divides 59712 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59712 and 59723. The biggest common factor number is the GCF number.
So the greatest common factor 59712 and 59723 is 1.

Also check out the Least Common Multiple of 59712 and 59723