What is the Greatest Common Factor of 99828 and 99843?

Greatest common factor (GCF) of 99828 and 99843 is 3.

GCF(99828,99843) = 3

We will now calculate the prime factors of 99828 and 99843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99828 and 99843.

How to find the GCF of 99828 and 99843?

We will first find the prime factorization of 99828 and 99843. After we will calculate the factors of 99828 and 99843 and find the biggest common factor number .

Step-1: Prime Factorization of 99828

Prime factors of 99828 are 2, 3, 47, 59. Prime factorization of 99828 in exponential form is:

99828 = 2² × 3² × 47¹ × 59¹

Step-2: Prime Factorization of 99843

Prime factors of 99843 are 3, 23, 1447. Prime factorization of 99843 in exponential form is:

99843 = 3¹ × 23¹ × 1447¹

Step-3: Factors of 99828

List of positive integer factors of 99828 that divides 99828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 59, 94, 118, 141, 177, 188, 236, 282, 354, 423, 531, 564, 708, 846, 1062, 1692, 2124, 2773, 5546, 8319, 11092, 16638, 24957, 33276, 49914

Step-4: Factors of 99843

List of positive integer factors of 99843 that divides 99828 without a remainder.

1, 3, 23, 69, 1447, 4341, 33281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99828 and 99843. The biggest common factor number is the GCF number.
So the greatest common factor 99828 and 99843 is 3.

Also check out the Least Common Multiple of 99828 and 99843