What is the Greatest Common Factor of 67584 and 67596?

Greatest common factor (GCF) of 67584 and 67596 is 12.

GCF(67584,67596) = 12

We will now calculate the prime factors of 67584 and 67596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67584 and 67596.

How to find the GCF of 67584 and 67596?

We will first find the prime factorization of 67584 and 67596. After we will calculate the factors of 67584 and 67596 and find the biggest common factor number .

Step-1: Prime Factorization of 67584

Prime factors of 67584 are 2, 3, 11. Prime factorization of 67584 in exponential form is:

67584 = 2¹¹ × 3¹ × 11¹

Step-2: Prime Factorization of 67596

Prime factors of 67596 are 2, 3, 43, 131. Prime factorization of 67596 in exponential form is:

67596 = 2² × 3¹ × 43¹ × 131¹

Step-3: Factors of 67584

List of positive integer factors of 67584 that divides 67584 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1024, 1056, 1408, 1536, 2048, 2112, 2816, 3072, 4224, 5632, 6144, 8448, 11264, 16896, 22528, 33792

Step-4: Factors of 67596

List of positive integer factors of 67596 that divides 67584 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 131, 172, 258, 262, 393, 516, 524, 786, 1572, 5633, 11266, 16899, 22532, 33798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67584 and 67596. The biggest common factor number is the GCF number.
So the greatest common factor 67584 and 67596 is 12.

Also check out the Least Common Multiple of 67584 and 67596