What is the Greatest Common Factor of 59299 and 59312?

Greatest common factor (GCF) of 59299 and 59312 is 1.

GCF(59299,59312) = 1

We will now calculate the prime factors of 59299 and 59312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59299 and 59312.

How to find the GCF of 59299 and 59312?

We will first find the prime factorization of 59299 and 59312. After we will calculate the factors of 59299 and 59312 and find the biggest common factor number .

Step-1: Prime Factorization of 59299

Prime factors of 59299 are 19, 3121. Prime factorization of 59299 in exponential form is:

59299 = 19¹ × 3121¹

Step-2: Prime Factorization of 59312

Prime factors of 59312 are 2, 11, 337. Prime factorization of 59312 in exponential form is:

59312 = 2⁴ × 11¹ × 337¹

Step-3: Factors of 59299

List of positive integer factors of 59299 that divides 59299 without a remainder.

1, 19, 3121

Step-4: Factors of 59312

List of positive integer factors of 59312 that divides 59299 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 337, 674, 1348, 2696, 3707, 5392, 7414, 14828, 29656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59299 and 59312. The biggest common factor number is the GCF number.
So the greatest common factor 59299 and 59312 is 1.

Also check out the Least Common Multiple of 59299 and 59312