What is the Greatest Common Factor of 99678 and 99693?

Greatest common factor (GCF) of 99678 and 99693 is 3.

GCF(99678,99693) = 3

We will now calculate the prime factors of 99678 and 99693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99678 and 99693.

How to find the GCF of 99678 and 99693?

We will first find the prime factorization of 99678 and 99693. After we will calculate the factors of 99678 and 99693 and find the biggest common factor number .

Step-1: Prime Factorization of 99678

Prime factors of 99678 are 2, 3, 37, 449. Prime factorization of 99678 in exponential form is:

99678 = 2¹ × 3¹ × 37¹ × 449¹

Step-2: Prime Factorization of 99693

Prime factors of 99693 are 3, 11, 19, 53. Prime factorization of 99693 in exponential form is:

99693 = 3² × 11¹ × 19¹ × 53¹

Step-3: Factors of 99678

List of positive integer factors of 99678 that divides 99678 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 449, 898, 1347, 2694, 16613, 33226, 49839

Step-4: Factors of 99693

List of positive integer factors of 99693 that divides 99678 without a remainder.

1, 3, 9, 11, 19, 33, 53, 57, 99, 159, 171, 209, 477, 583, 627, 1007, 1749, 1881, 3021, 5247, 9063, 11077, 33231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99678 and 99693. The biggest common factor number is the GCF number.
So the greatest common factor 99678 and 99693 is 3.

Also check out the Least Common Multiple of 99678 and 99693