What is the Greatest Common Factor of 99828 and 99848?

Greatest common factor (GCF) of 99828 and 99848 is 4.

GCF(99828,99848) = 4

We will now calculate the prime factors of 99828 and 99848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99828 and 99848.

How to find the GCF of 99828 and 99848?

We will first find the prime factorization of 99828 and 99848. After we will calculate the factors of 99828 and 99848 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 99848

Prime factors of 99848 are 2, 7, 1783. Prime factorization of 99848 in exponential form is:

99848 = 2³ × 7¹ × 1783¹

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 99848

List of positive integer factors of 99848 that divides 99828 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1783, 3566, 7132, 12481, 14264, 24962, 49924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99828 and 99848. The biggest common factor number is the GCF number.
So the greatest common factor 99828 and 99848 is 4.

Also check out the Least Common Multiple of 99828 and 99848