What is the Greatest Common Factor of 59891 and 59899?

Greatest common factor (GCF) of 59891 and 59899 is 1.

GCF(59891,59899) = 1

We will now calculate the prime factors of 59891 and 59899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59891 and 59899.

How to find the GCF of 59891 and 59899?

We will first find the prime factorization of 59891 and 59899. After we will calculate the factors of 59891 and 59899 and find the biggest common factor number .

Step-1: Prime Factorization of 59891

Prime factors of 59891 are 13, 17, 271. Prime factorization of 59891 in exponential form is:

59891 = 13¹ × 17¹ × 271¹

Step-2: 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-3: Factors of 59891

List of positive integer factors of 59891 that divides 59891 without a remainder.

1, 13, 17, 221, 271, 3523, 4607

Step-4: Factors of 59899

List of positive integer factors of 59899 that divides 59891 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59891 and 59899. The biggest common factor number is the GCF number.
So the greatest common factor 59891 and 59899 is 1.

Also check out the Least Common Multiple of 59891 and 59899