What is the Greatest Common Factor of 99004 and 99022?

Greatest common factor (GCF) of 99004 and 99022 is 2.

GCF(99004,99022) = 2

We will now calculate the prime factors of 99004 and 99022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99004 and 99022.

How to find the GCF of 99004 and 99022?

We will first find the prime factorization of 99004 and 99022. After we will calculate the factors of 99004 and 99022 and find the biggest common factor number .

Step-1: Prime Factorization of 99004

Prime factors of 99004 are 2, 53, 467. Prime factorization of 99004 in exponential form is:

99004 = 2² × 53¹ × 467¹

Step-2: Prime Factorization of 99022

Prime factors of 99022 are 2, 7, 11, 643. Prime factorization of 99022 in exponential form is:

99022 = 2¹ × 7¹ × 11¹ × 643¹

Step-3: Factors of 99004

List of positive integer factors of 99004 that divides 99004 without a remainder.

1, 2, 4, 53, 106, 212, 467, 934, 1868, 24751, 49502

Step-4: Factors of 99022

List of positive integer factors of 99022 that divides 99004 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 643, 1286, 4501, 7073, 9002, 14146, 49511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99004 and 99022. The biggest common factor number is the GCF number.
So the greatest common factor 99004 and 99022 is 2.

Also check out the Least Common Multiple of 99004 and 99022