What is the Greatest Common Factor of 58098 and 58106?

Greatest common factor (GCF) of 58098 and 58106 is 2.

GCF(58098,58106) = 2

We will now calculate the prime factors of 58098 and 58106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58098 and 58106.

How to find the GCF of 58098 and 58106?

We will first find the prime factorization of 58098 and 58106. After we will calculate the factors of 58098 and 58106 and find the biggest common factor number .

Step-1: Prime Factorization of 58098

Prime factors of 58098 are 2, 3, 23, 421. Prime factorization of 58098 in exponential form is:

58098 = 2¹ × 3¹ × 23¹ × 421¹

Step-2: Prime Factorization of 58106

Prime factors of 58106 are 2, 17, 1709. Prime factorization of 58106 in exponential form is:

58106 = 2¹ × 17¹ × 1709¹

Step-3: Factors of 58098

List of positive integer factors of 58098 that divides 58098 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 421, 842, 1263, 2526, 9683, 19366, 29049

Step-4: Factors of 58106

List of positive integer factors of 58106 that divides 58098 without a remainder.

1, 2, 17, 34, 1709, 3418, 29053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58098 and 58106. The biggest common factor number is the GCF number.
So the greatest common factor 58098 and 58106 is 2.

Also check out the Least Common Multiple of 58098 and 58106