What is the Greatest Common Factor of 98148 and 98162?

Greatest common factor (GCF) of 98148 and 98162 is 2.

GCF(98148,98162) = 2

We will now calculate the prime factors of 98148 and 98162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98148 and 98162.

How to find the GCF of 98148 and 98162?

We will first find the prime factorization of 98148 and 98162. After we will calculate the factors of 98148 and 98162 and find the biggest common factor number .

Step-1: Prime Factorization of 98148

Prime factors of 98148 are 2, 3, 8179. Prime factorization of 98148 in exponential form is:

98148 = 2² × 3¹ × 8179¹

Step-2: Prime Factorization of 98162

Prime factors of 98162 are 2, 49081. Prime factorization of 98162 in exponential form is:

98162 = 2¹ × 49081¹

Step-3: Factors of 98148

List of positive integer factors of 98148 that divides 98148 without a remainder.

1, 2, 3, 4, 6, 12, 8179, 16358, 24537, 32716, 49074

Step-4: Factors of 98162

List of positive integer factors of 98162 that divides 98148 without a remainder.

1, 2, 49081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98148 and 98162. The biggest common factor number is the GCF number.
So the greatest common factor 98148 and 98162 is 2.

Also check out the Least Common Multiple of 98148 and 98162