What is the Greatest Common Factor of 30264 and 30282?

Greatest common factor (GCF) of 30264 and 30282 is 6.

GCF(30264,30282) = 6

We will now calculate the prime factors of 30264 and 30282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30264 and 30282.

How to find the GCF of 30264 and 30282?

We will first find the prime factorization of 30264 and 30282. After we will calculate the factors of 30264 and 30282 and find the biggest common factor number .

Step-1: Prime Factorization of 30264

Prime factors of 30264 are 2, 3, 13, 97. Prime factorization of 30264 in exponential form is:

30264 = 2³ × 3¹ × 13¹ × 97¹

Step-2: Prime Factorization of 30282

Prime factors of 30282 are 2, 3, 7, 103. Prime factorization of 30282 in exponential form is:

30282 = 2¹ × 3¹ × 7² × 103¹

Step-3: Factors of 30264

List of positive integer factors of 30264 that divides 30264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 97, 104, 156, 194, 291, 312, 388, 582, 776, 1164, 1261, 2328, 2522, 3783, 5044, 7566, 10088, 15132

Step-4: Factors of 30282

List of positive integer factors of 30282 that divides 30264 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 103, 147, 206, 294, 309, 618, 721, 1442, 2163, 4326, 5047, 10094, 15141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30264 and 30282. The biggest common factor number is the GCF number.
So the greatest common factor 30264 and 30282 is 6.

Also check out the Least Common Multiple of 30264 and 30282