What is the Greatest Common Factor of 99828 and 99844?

Greatest common factor (GCF) of 99828 and 99844 is 4.

GCF(99828,99844) = 4

We will now calculate the prime factors of 99828 and 99844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99828 and 99844.

How to find the GCF of 99828 and 99844?

We will first find the prime factorization of 99828 and 99844. After we will calculate the factors of 99828 and 99844 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 99844

Prime factors of 99844 are 2, 109, 229. Prime factorization of 99844 in exponential form is:

99844 = 2² × 109¹ × 229¹

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 99844

List of positive integer factors of 99844 that divides 99828 without a remainder.

1, 2, 4, 109, 218, 229, 436, 458, 916, 24961, 49922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99828 and 99844. The biggest common factor number is the GCF number.
So the greatest common factor 99828 and 99844 is 4.

Also check out the Least Common Multiple of 99828 and 99844