What is the Greatest Common Factor of 99372 and 99378?

Greatest common factor (GCF) of 99372 and 99378 is 6.

GCF(99372,99378) = 6

We will now calculate the prime factors of 99372 and 99378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99372 and 99378.

How to find the GCF of 99372 and 99378?

We will first find the prime factorization of 99372 and 99378. After we will calculate the factors of 99372 and 99378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99378

Prime factors of 99378 are 2, 3, 5521. Prime factorization of 99378 in exponential form is:

99378 = 2¹ × 3² × 5521¹

Step-3: Factors of 99372

List of positive integer factors of 99372 that divides 99372 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

Step-4: Factors of 99378

List of positive integer factors of 99378 that divides 99372 without a remainder.

1, 2, 3, 6, 9, 18, 5521, 11042, 16563, 33126, 49689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99372 and 99378. The biggest common factor number is the GCF number.
So the greatest common factor 99372 and 99378 is 6.

Also check out the Least Common Multiple of 99372 and 99378