What is the Greatest Common Factor of 59687 and 59704?

Greatest common factor (GCF) of 59687 and 59704 is 17.

GCF(59687,59704) = 17

We will now calculate the prime factors of 59687 and 59704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59687 and 59704.

How to find the GCF of 59687 and 59704?

We will first find the prime factorization of 59687 and 59704. After we will calculate the factors of 59687 and 59704 and find the biggest common factor number .

Step-1: Prime Factorization of 59687

Prime factors of 59687 are 17, 3511. Prime factorization of 59687 in exponential form is:

59687 = 17¹ × 3511¹

Step-2: Prime Factorization of 59704

Prime factors of 59704 are 2, 17, 439. Prime factorization of 59704 in exponential form is:

59704 = 2³ × 17¹ × 439¹

Step-3: Factors of 59687

List of positive integer factors of 59687 that divides 59687 without a remainder.

1, 17, 3511

Step-4: Factors of 59704

List of positive integer factors of 59704 that divides 59687 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 439, 878, 1756, 3512, 7463, 14926, 29852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59687 and 59704. The biggest common factor number is the GCF number.
So the greatest common factor 59687 and 59704 is 17.

Also check out the Least Common Multiple of 59687 and 59704