What is the Greatest Common Factor of 98058 and 98067?

Greatest common factor (GCF) of 98058 and 98067 is 3.

GCF(98058,98067) = 3

We will now calculate the prime factors of 98058 and 98067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98058 and 98067.

How to find the GCF of 98058 and 98067?

We will first find the prime factorization of 98058 and 98067. After we will calculate the factors of 98058 and 98067 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 98067

Prime factors of 98067 are 3, 97, 337. Prime factorization of 98067 in exponential form is:

98067 = 3¹ × 97¹ × 337¹

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 98067

List of positive integer factors of 98067 that divides 98058 without a remainder.

1, 3, 97, 291, 337, 1011, 32689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98058 and 98067. The biggest common factor number is the GCF number.
So the greatest common factor 98058 and 98067 is 3.

Also check out the Least Common Multiple of 98058 and 98067