What is the Greatest Common Factor of 59899 and 59917?

Greatest common factor (GCF) of 59899 and 59917 is 1.

GCF(59899,59917) = 1

We will now calculate the prime factors of 59899 and 59917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59899 and 59917.

How to find the GCF of 59899 and 59917?

We will first find the prime factorization of 59899 and 59917. After we will calculate the factors of 59899 and 59917 and find the biggest common factor number .

Step-1: Prime Factorization of 59899

Prime factors of 59899 are 7, 43, 199. Prime factorization of 59899 in exponential form is:

59899 = 7¹ × 43¹ × 199¹

Step-2: Prime Factorization of 59917

Prime factors of 59917 are 11, 13, 419. Prime factorization of 59917 in exponential form is:

59917 = 11¹ × 13¹ × 419¹

Step-3: Factors of 59899

List of positive integer factors of 59899 that divides 59899 without a remainder.

1, 7, 43, 199, 301, 1393, 8557

Step-4: Factors of 59917

List of positive integer factors of 59917 that divides 59899 without a remainder.

1, 11, 13, 143, 419, 4609, 5447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59899 and 59917. The biggest common factor number is the GCF number.
So the greatest common factor 59899 and 59917 is 1.

Also check out the Least Common Multiple of 59899 and 59917