What is the Greatest Common Factor of 98022 and 98042?

Greatest common factor (GCF) of 98022 and 98042 is 2.

GCF(98022,98042) = 2

We will now calculate the prime factors of 98022 and 98042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98022 and 98042.

How to find the GCF of 98022 and 98042?

We will first find the prime factorization of 98022 and 98042. After we will calculate the factors of 98022 and 98042 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 98042

Prime factors of 98042 are 2, 7, 47, 149. Prime factorization of 98042 in exponential form is:

98042 = 2¹ × 7¹ × 47¹ × 149¹

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 98042

List of positive integer factors of 98042 that divides 98022 without a remainder.

1, 2, 7, 14, 47, 94, 149, 298, 329, 658, 1043, 2086, 7003, 14006, 49021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98022 and 98042. The biggest common factor number is the GCF number.
So the greatest common factor 98022 and 98042 is 2.

Also check out the Least Common Multiple of 98022 and 98042