What is the Greatest Common Factor of 67584 and 67602?

Greatest common factor (GCF) of 67584 and 67602 is 6.

GCF(67584,67602) = 6

We will now calculate the prime factors of 67584 and 67602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67584 and 67602.

How to find the GCF of 67584 and 67602?

We will first find the prime factorization of 67584 and 67602. After we will calculate the factors of 67584 and 67602 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 67602

Prime factors of 67602 are 2, 3, 19, 593. Prime factorization of 67602 in exponential form is:

67602 = 2¹ × 3¹ × 19¹ × 593¹

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 67602

List of positive integer factors of 67602 that divides 67584 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 593, 1186, 1779, 3558, 11267, 22534, 33801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67584 and 67602. The biggest common factor number is the GCF number.
So the greatest common factor 67584 and 67602 is 6.

Also check out the Least Common Multiple of 67584 and 67602