What is the Greatest Common Factor of 99372 and 99379?

Greatest common factor (GCF) of 99372 and 99379 is 7.

GCF(99372,99379) = 7

We will now calculate the prime factors of 99372 and 99379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99372 and 99379.

How to find the GCF of 99372 and 99379?

We will first find the prime factorization of 99372 and 99379. After we will calculate the factors of 99372 and 99379 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 99379

Prime factors of 99379 are 7, 14197. Prime factorization of 99379 in exponential form is:

99379 = 7¹ × 14197¹

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 99379

List of positive integer factors of 99379 that divides 99372 without a remainder.

1, 7, 14197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99372 and 99379. The biggest common factor number is the GCF number.
So the greatest common factor 99372 and 99379 is 7.

Also check out the Least Common Multiple of 99372 and 99379