What is the Greatest Common Factor of 98022 and 98039?

Greatest common factor (GCF) of 98022 and 98039 is 17.

GCF(98022,98039) = 17

We will now calculate the prime factors of 98022 and 98039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98022 and 98039.

How to find the GCF of 98022 and 98039?

We will first find the prime factorization of 98022 and 98039. After we will calculate the factors of 98022 and 98039 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 98039

Prime factors of 98039 are 17, 73, 79. Prime factorization of 98039 in exponential form is:

98039 = 17¹ × 73¹ × 79¹

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 98039

List of positive integer factors of 98039 that divides 98022 without a remainder.

1, 17, 73, 79, 1241, 1343, 5767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98022 and 98039. The biggest common factor number is the GCF number.
So the greatest common factor 98022 and 98039 is 17.

Also check out the Least Common Multiple of 98022 and 98039