What is the Greatest Common Factor of 99356 and 99372?

Greatest common factor (GCF) of 99356 and 99372 is 4.

GCF(99356,99372) = 4

We will now calculate the prime factors of 99356 and 99372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99356 and 99372.

How to find the GCF of 99356 and 99372?

We will first find the prime factorization of 99356 and 99372. After we will calculate the factors of 99356 and 99372 and find the biggest common factor number .

Step-1: Prime Factorization of 99356

Prime factors of 99356 are 2, 59, 421. Prime factorization of 99356 in exponential form is:

99356 = 2² × 59¹ × 421¹

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 99356

List of positive integer factors of 99356 that divides 99356 without a remainder.

1, 2, 4, 59, 118, 236, 421, 842, 1684, 24839, 49678

Step-4: Factors of 99372

List of positive integer factors of 99372 that divides 99356 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 99356 and 99372. The biggest common factor number is the GCF number.
So the greatest common factor 99356 and 99372 is 4.

Also check out the Least Common Multiple of 99356 and 99372