What is the Greatest Common Factor of 58994 and 59007?

Greatest common factor (GCF) of 58994 and 59007 is 13.

GCF(58994,59007) = 13

We will now calculate the prime factors of 58994 and 59007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58994 and 59007.

How to find the GCF of 58994 and 59007?

We will first find the prime factorization of 58994 and 59007. After we will calculate the factors of 58994 and 59007 and find the biggest common factor number .

Step-1: Prime Factorization of 58994

Prime factors of 58994 are 2, 13, 2269. Prime factorization of 58994 in exponential form is:

58994 = 2¹ × 13¹ × 2269¹

Step-2: Prime Factorization of 59007

Prime factors of 59007 are 3, 13, 17, 89. Prime factorization of 59007 in exponential form is:

59007 = 3¹ × 13¹ × 17¹ × 89¹

Step-3: Factors of 58994

List of positive integer factors of 58994 that divides 58994 without a remainder.

1, 2, 13, 26, 2269, 4538, 29497

Step-4: Factors of 59007

List of positive integer factors of 59007 that divides 58994 without a remainder.

1, 3, 13, 17, 39, 51, 89, 221, 267, 663, 1157, 1513, 3471, 4539, 19669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58994 and 59007. The biggest common factor number is the GCF number.
So the greatest common factor 58994 and 59007 is 13.

Also check out the Least Common Multiple of 58994 and 59007