What is the Greatest Common Factor of 99828 and 99840?

Greatest common factor (GCF) of 99828 and 99840 is 12.

GCF(99828,99840) = 12

We will now calculate the prime factors of 99828 and 99840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99828 and 99840.

How to find the GCF of 99828 and 99840?

We will first find the prime factorization of 99828 and 99840. After we will calculate the factors of 99828 and 99840 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 99840

Prime factors of 99840 are 2, 3, 5, 13. Prime factorization of 99840 in exponential form is:

99840 = 2⁹ × 3¹ × 5¹ × 13¹

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 99840

List of positive integer factors of 99840 that divides 99828 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 256, 260, 312, 320, 384, 390, 416, 480, 512, 520, 624, 640, 768, 780, 832, 960, 1040, 1248, 1280, 1536, 1560, 1664, 1920, 2080, 2496, 2560, 3120, 3328, 3840, 4160, 4992, 6240, 6656, 7680, 8320, 9984, 12480, 16640, 19968, 24960, 33280, 49920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99828 and 99840. The biggest common factor number is the GCF number.
So the greatest common factor 99828 and 99840 is 12.

Also check out the Least Common Multiple of 99828 and 99840