What is the Greatest Common Factor of 99365 and 99372?

Greatest common factor (GCF) of 99365 and 99372 is 7.

GCF(99365,99372) = 7

We will now calculate the prime factors of 99365 and 99372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99365 and 99372.

How to find the GCF of 99365 and 99372?

We will first find the prime factorization of 99365 and 99372. After we will calculate the factors of 99365 and 99372 and find the biggest common factor number .

Step-1: Prime Factorization of 99365

Prime factors of 99365 are 5, 7, 17, 167. Prime factorization of 99365 in exponential form is:

99365 = 5¹ × 7¹ × 17¹ × 167¹

Step-2: Prime Factorization of 99372

Prime factors of 99372 are 2, 3, 7, 13. Prime factorization of 99372 in exponential form is:

99372 = 2² × 3¹ × 7² × 13²

Step-3: Factors of 99365

List of positive integer factors of 99365 that divides 99365 without a remainder.

1, 5, 7, 17, 35, 85, 119, 167, 595, 835, 1169, 2839, 5845, 14195, 19873

Step-4: Factors of 99372

List of positive integer factors of 99372 that divides 99365 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 169, 182, 196, 273, 294, 338, 364, 507, 546, 588, 637, 676, 1014, 1092, 1183, 1274, 1911, 2028, 2366, 2548, 3549, 3822, 4732, 7098, 7644, 8281, 14196, 16562, 24843, 33124, 49686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99365 and 99372. The biggest common factor number is the GCF number.
So the greatest common factor 99365 and 99372 is 7.

Also check out the Least Common Multiple of 99365 and 99372