What is the Greatest Common Factor of 98058 and 98074?

Greatest common factor (GCF) of 98058 and 98074 is 2.

GCF(98058,98074) = 2

We will now calculate the prime factors of 98058 and 98074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98058 and 98074.

How to find the GCF of 98058 and 98074?

We will first find the prime factorization of 98058 and 98074. After we will calculate the factors of 98058 and 98074 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 98074

Prime factors of 98074 are 2, 49037. Prime factorization of 98074 in exponential form is:

98074 = 2¹ × 49037¹

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 98074

List of positive integer factors of 98074 that divides 98058 without a remainder.

1, 2, 49037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98058 and 98074. The biggest common factor number is the GCF number.
So the greatest common factor 98058 and 98074 is 2.

Also check out the Least Common Multiple of 98058 and 98074