What is the Greatest Common Factor of 30096 and 30108?

Greatest common factor (GCF) of 30096 and 30108 is 12.

GCF(30096,30108) = 12

We will now calculate the prime factors of 30096 and 30108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30096 and 30108.

How to find the GCF of 30096 and 30108?

We will first find the prime factorization of 30096 and 30108. After we will calculate the factors of 30096 and 30108 and find the biggest common factor number .

Step-1: Prime Factorization of 30096

Prime factors of 30096 are 2, 3, 11, 19. Prime factorization of 30096 in exponential form is:

30096 = 2⁴ × 3² × 11¹ × 19¹

Step-2: Prime Factorization of 30108

Prime factors of 30108 are 2, 3, 13, 193. Prime factorization of 30108 in exponential form is:

30108 = 2² × 3¹ × 13¹ × 193¹

Step-3: Factors of 30096

List of positive integer factors of 30096 that divides 30096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 19, 22, 24, 33, 36, 38, 44, 48, 57, 66, 72, 76, 88, 99, 114, 132, 144, 152, 171, 176, 198, 209, 228, 264, 304, 342, 396, 418, 456, 528, 627, 684, 792, 836, 912, 1254, 1368, 1584, 1672, 1881, 2508, 2736, 3344, 3762, 5016, 7524, 10032, 15048

Step-4: Factors of 30108

List of positive integer factors of 30108 that divides 30096 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 193, 386, 579, 772, 1158, 2316, 2509, 5018, 7527, 10036, 15054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30096 and 30108. The biggest common factor number is the GCF number.
So the greatest common factor 30096 and 30108 is 12.

Also check out the Least Common Multiple of 30096 and 30108