What is the Greatest Common Factor of 99022 and 99036?

Greatest common factor (GCF) of 99022 and 99036 is 14.

GCF(99022,99036) = 14

We will now calculate the prime factors of 99022 and 99036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99022 and 99036.

How to find the GCF of 99022 and 99036?

We will first find the prime factorization of 99022 and 99036. After we will calculate the factors of 99022 and 99036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99036

Prime factors of 99036 are 2, 3, 7, 131. Prime factorization of 99036 in exponential form is:

99036 = 2² × 3³ × 7¹ × 131¹

Step-3: Factors of 99022

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

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

Step-4: Factors of 99036

List of positive integer factors of 99036 that divides 99022 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 131, 189, 252, 262, 378, 393, 524, 756, 786, 917, 1179, 1572, 1834, 2358, 2751, 3537, 3668, 4716, 5502, 7074, 8253, 11004, 14148, 16506, 24759, 33012, 49518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99022 and 99036. The biggest common factor number is the GCF number.
So the greatest common factor 99022 and 99036 is 14.

Also check out the Least Common Multiple of 99022 and 99036