What is the Greatest Common Factor of 99300 and 99316?

Greatest common factor (GCF) of 99300 and 99316 is 4.

GCF(99300,99316) = 4

We will now calculate the prime factors of 99300 and 99316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99300 and 99316.

How to find the GCF of 99300 and 99316?

We will first find the prime factorization of 99300 and 99316. After we will calculate the factors of 99300 and 99316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99316

Prime factors of 99316 are 2, 7, 3547. Prime factorization of 99316 in exponential form is:

99316 = 2² × 7¹ × 3547¹

Step-3: Factors of 99300

List of positive integer factors of 99300 that divides 99300 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

Step-4: Factors of 99316

List of positive integer factors of 99316 that divides 99300 without a remainder.

1, 2, 4, 7, 14, 28, 3547, 7094, 14188, 24829, 49658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99300 and 99316. The biggest common factor number is the GCF number.
So the greatest common factor 99300 and 99316 is 4.

Also check out the Least Common Multiple of 99300 and 99316