What is the Greatest Common Factor of 59717 and 59728?

Greatest common factor (GCF) of 59717 and 59728 is 1.

GCF(59717,59728) = 1

We will now calculate the prime factors of 59717 and 59728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59717 and 59728.

How to find the GCF of 59717 and 59728?

We will first find the prime factorization of 59717 and 59728. After we will calculate the factors of 59717 and 59728 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59728

Prime factors of 59728 are 2, 3733. Prime factorization of 59728 in exponential form is:

59728 = 2⁴ × 3733¹

Step-3: Factors of 59717

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

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

Step-4: Factors of 59728

List of positive integer factors of 59728 that divides 59717 without a remainder.

1, 2, 4, 8, 16, 3733, 7466, 14932, 29864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59717 and 59728. The biggest common factor number is the GCF number.
So the greatest common factor 59717 and 59728 is 1.

Also check out the Least Common Multiple of 59717 and 59728