What is the Greatest Common Factor of 99294 and 99300?

Greatest common factor (GCF) of 99294 and 99300 is 6.

GCF(99294,99300) = 6

We will now calculate the prime factors of 99294 and 99300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99294 and 99300.

How to find the GCF of 99294 and 99300?

We will first find the prime factorization of 99294 and 99300. After we will calculate the factors of 99294 and 99300 and find the biggest common factor number .

Step-1: Prime Factorization of 99294

Prime factors of 99294 are 2, 3, 13, 19, 67. Prime factorization of 99294 in exponential form is:

99294 = 2¹ × 3¹ × 13¹ × 19¹ × 67¹

Step-2: Prime Factorization of 99300

Prime factors of 99300 are 2, 3, 5, 331. Prime factorization of 99300 in exponential form is:

99300 = 2² × 3¹ × 5² × 331¹

Step-3: Factors of 99294

List of positive integer factors of 99294 that divides 99294 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 67, 78, 114, 134, 201, 247, 402, 494, 741, 871, 1273, 1482, 1742, 2546, 2613, 3819, 5226, 7638, 16549, 33098, 49647

Step-4: Factors of 99300

List of positive integer factors of 99300 that divides 99294 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 331, 662, 993, 1324, 1655, 1986, 3310, 3972, 4965, 6620, 8275, 9930, 16550, 19860, 24825, 33100, 49650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99294 and 99300. The biggest common factor number is the GCF number.
So the greatest common factor 99294 and 99300 is 6.

Also check out the Least Common Multiple of 99294 and 99300