What is the Greatest Common Factor of 98058 and 98071?

Greatest common factor (GCF) of 98058 and 98071 is 1.

GCF(98058,98071) = 1

We will now calculate the prime factors of 98058 and 98071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98058 and 98071.

How to find the GCF of 98058 and 98071?

We will first find the prime factorization of 98058 and 98071. After we will calculate the factors of 98058 and 98071 and find the biggest common factor number .

Step-1: Prime Factorization of 98058

Prime factors of 98058 are 2, 3, 59, 277. Prime factorization of 98058 in exponential form is:

98058 = 2¹ × 3¹ × 59¹ × 277¹

Step-2: Prime Factorization of 98071

Prime factors of 98071 are 101, 971. Prime factorization of 98071 in exponential form is:

98071 = 101¹ × 971¹

Step-3: Factors of 98058

List of positive integer factors of 98058 that divides 98058 without a remainder.

1, 2, 3, 6, 59, 118, 177, 277, 354, 554, 831, 1662, 16343, 32686, 49029

Step-4: Factors of 98071

List of positive integer factors of 98071 that divides 98058 without a remainder.

1, 101, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98058 and 98071. The biggest common factor number is the GCF number.
So the greatest common factor 98058 and 98071 is 1.

Also check out the Least Common Multiple of 98058 and 98071