What is the Greatest Common Factor of 59712 and 59717?

Greatest common factor (GCF) of 59712 and 59717 is 1.

GCF(59712,59717) = 1

We will now calculate the prime factors of 59712 and 59717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59712 and 59717.

How to find the GCF of 59712 and 59717?

We will first find the prime factorization of 59712 and 59717. After we will calculate the factors of 59712 and 59717 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 59717

Prime factors of 59717 are 7, 19, 449. Prime factorization of 59717 in exponential form is:

59717 = 7¹ × 19¹ × 449¹

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 59717

List of positive integer factors of 59717 that divides 59712 without a remainder.

1, 7, 19, 133, 449, 3143, 8531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59712 and 59717. The biggest common factor number is the GCF number.
So the greatest common factor 59712 and 59717 is 1.

Also check out the Least Common Multiple of 59712 and 59717