What is the Greatest Common Factor of 99385 and 99396?

Greatest common factor (GCF) of 99385 and 99396 is 11.

GCF(99385,99396) = 11

We will now calculate the prime factors of 99385 and 99396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99385 and 99396.

How to find the GCF of 99385 and 99396?

We will first find the prime factorization of 99385 and 99396. After we will calculate the factors of 99385 and 99396 and find the biggest common factor number .

Step-1: Prime Factorization of 99385

Prime factors of 99385 are 5, 11, 13, 139. Prime factorization of 99385 in exponential form is:

99385 = 5¹ × 11¹ × 13¹ × 139¹

Step-2: 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-3: Factors of 99385

List of positive integer factors of 99385 that divides 99385 without a remainder.

1, 5, 11, 13, 55, 65, 139, 143, 695, 715, 1529, 1807, 7645, 9035, 19877

Step-4: Factors of 99396

List of positive integer factors of 99396 that divides 99385 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99385 and 99396. The biggest common factor number is the GCF number.
So the greatest common factor 99385 and 99396 is 11.

Also check out the Least Common Multiple of 99385 and 99396