What is the Greatest Common Factor of 98022 and 98026?

Greatest common factor (GCF) of 98022 and 98026 is 2.

GCF(98022,98026) = 2

We will now calculate the prime factors of 98022 and 98026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98022 and 98026.

How to find the GCF of 98022 and 98026?

We will first find the prime factorization of 98022 and 98026. After we will calculate the factors of 98022 and 98026 and find the biggest common factor number .

Step-1: Prime Factorization of 98022

Prime factors of 98022 are 2, 3, 17, 31. Prime factorization of 98022 in exponential form is:

98022 = 2¹ × 3¹ × 17¹ × 31²

Step-2: Prime Factorization of 98026

Prime factors of 98026 are 2, 23, 2131. Prime factorization of 98026 in exponential form is:

98026 = 2¹ × 23¹ × 2131¹

Step-3: Factors of 98022

List of positive integer factors of 98022 that divides 98022 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 961, 1054, 1581, 1922, 2883, 3162, 5766, 16337, 32674, 49011

Step-4: Factors of 98026

List of positive integer factors of 98026 that divides 98022 without a remainder.

1, 2, 23, 46, 2131, 4262, 49013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98022 and 98026. The biggest common factor number is the GCF number.
So the greatest common factor 98022 and 98026 is 2.

Also check out the Least Common Multiple of 98022 and 98026