What is the Greatest Common Factor of 99396 and 99407?

Greatest common factor (GCF) of 99396 and 99407 is 11.

GCF(99396,99407) = 11

We will now calculate the prime factors of 99396 and 99407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99396 and 99407.

How to find the GCF of 99396 and 99407?

We will first find the prime factorization of 99396 and 99407. After we will calculate the factors of 99396 and 99407 and find the biggest common factor number .

Step-1: Prime Factorization of 99396

Prime factors of 99396 are 2, 3, 11, 251. Prime factorization of 99396 in exponential form is:

99396 = 2² × 3² × 11¹ × 251¹

Step-2: Prime Factorization of 99407

Prime factors of 99407 are 7, 11, 1291. Prime factorization of 99407 in exponential form is:

99407 = 7¹ × 11¹ × 1291¹

Step-3: Factors of 99396

List of positive integer factors of 99396 that divides 99396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 251, 396, 502, 753, 1004, 1506, 2259, 2761, 3012, 4518, 5522, 8283, 9036, 11044, 16566, 24849, 33132, 49698

Step-4: Factors of 99407

List of positive integer factors of 99407 that divides 99396 without a remainder.

1, 7, 11, 77, 1291, 9037, 14201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99396 and 99407. The biggest common factor number is the GCF number.
So the greatest common factor 99396 and 99407 is 11.

Also check out the Least Common Multiple of 99396 and 99407