What is the Greatest Common Factor of 98162 and 98172?

Greatest common factor (GCF) of 98162 and 98172 is 2.

GCF(98162,98172) = 2

We will now calculate the prime factors of 98162 and 98172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98162 and 98172.

How to find the GCF of 98162 and 98172?

We will first find the prime factorization of 98162 and 98172. After we will calculate the factors of 98162 and 98172 and find the biggest common factor number .

Step-1: Prime Factorization of 98162

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

98162 = 2¹ × 49081¹

Step-2: Prime Factorization of 98172

Prime factors of 98172 are 2, 3, 101. Prime factorization of 98172 in exponential form is:

98172 = 2² × 3⁵ × 101¹

Step-3: Factors of 98162

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

1, 2, 49081

Step-4: Factors of 98172

List of positive integer factors of 98172 that divides 98162 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202, 243, 303, 324, 404, 486, 606, 909, 972, 1212, 1818, 2727, 3636, 5454, 8181, 10908, 16362, 24543, 32724, 49086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98162 and 98172. The biggest common factor number is the GCF number.
So the greatest common factor 98162 and 98172 is 2.

Also check out the Least Common Multiple of 98162 and 98172