What is the Greatest Common Factor of 30492 and 30504?

Greatest common factor (GCF) of 30492 and 30504 is 12.

GCF(30492,30504) = 12

We will now calculate the prime factors of 30492 and 30504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30492 and 30504.

How to find the GCF of 30492 and 30504?

We will first find the prime factorization of 30492 and 30504. After we will calculate the factors of 30492 and 30504 and find the biggest common factor number .

Step-1: Prime Factorization of 30492

Prime factors of 30492 are 2, 3, 7, 11. Prime factorization of 30492 in exponential form is:

30492 = 2² × 3² × 7¹ × 11²

Step-2: Prime Factorization of 30504

Prime factors of 30504 are 2, 3, 31, 41. Prime factorization of 30504 in exponential form is:

30504 = 2³ × 3¹ × 31¹ × 41¹

Step-3: Factors of 30492

List of positive integer factors of 30492 that divides 30492 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 121, 126, 132, 154, 198, 231, 242, 252, 308, 363, 396, 462, 484, 693, 726, 847, 924, 1089, 1386, 1452, 1694, 2178, 2541, 2772, 3388, 4356, 5082, 7623, 10164, 15246

Step-4: Factors of 30504

List of positive integer factors of 30504 that divides 30492 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 248, 328, 372, 492, 744, 984, 1271, 2542, 3813, 5084, 7626, 10168, 15252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30492 and 30504. The biggest common factor number is the GCF number.
So the greatest common factor 30492 and 30504 is 12.

Also check out the Least Common Multiple of 30492 and 30504