What is the Greatest Common Factor of 98022 and 98038?

Greatest common factor (GCF) of 98022 and 98038 is 2.

GCF(98022,98038) = 2

We will now calculate the prime factors of 98022 and 98038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98022 and 98038.

How to find the GCF of 98022 and 98038?

We will first find the prime factorization of 98022 and 98038. After we will calculate the factors of 98022 and 98038 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 98038

Prime factors of 98038 are 2, 49019. Prime factorization of 98038 in exponential form is:

98038 = 2¹ × 49019¹

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 98038

List of positive integer factors of 98038 that divides 98022 without a remainder.

1, 2, 49019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98022 and 98038. The biggest common factor number is the GCF number.
So the greatest common factor 98022 and 98038 is 2.

Also check out the Least Common Multiple of 98022 and 98038