What is the Greatest Common Factor of 98022 and 98037?

Greatest common factor (GCF) of 98022 and 98037 is 3.

GCF(98022,98037) = 3

We will now calculate the prime factors of 98022 and 98037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98022 and 98037.

How to find the GCF of 98022 and 98037?

We will first find the prime factorization of 98022 and 98037. After we will calculate the factors of 98022 and 98037 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 98037

Prime factors of 98037 are 3, 3631. Prime factorization of 98037 in exponential form is:

98037 = 3³ × 3631¹

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 98037

List of positive integer factors of 98037 that divides 98022 without a remainder.

1, 3, 9, 27, 3631, 10893, 32679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98022 and 98037. The biggest common factor number is the GCF number.
So the greatest common factor 98022 and 98037 is 3.

Also check out the Least Common Multiple of 98022 and 98037