What is the Greatest Common Factor of 67548 and 67555?

Greatest common factor (GCF) of 67548 and 67555 is 1.

GCF(67548,67555) = 1

We will now calculate the prime factors of 67548 and 67555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67548 and 67555.

How to find the GCF of 67548 and 67555?

We will first find the prime factorization of 67548 and 67555. After we will calculate the factors of 67548 and 67555 and find the biggest common factor number .

Step-1: Prime Factorization of 67548

Prime factors of 67548 are 2, 3, 13, 433. Prime factorization of 67548 in exponential form is:

67548 = 2² × 3¹ × 13¹ × 433¹

Step-2: Prime Factorization of 67555

Prime factors of 67555 are 5, 59, 229. Prime factorization of 67555 in exponential form is:

67555 = 5¹ × 59¹ × 229¹

Step-3: Factors of 67548

List of positive integer factors of 67548 that divides 67548 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 433, 866, 1299, 1732, 2598, 5196, 5629, 11258, 16887, 22516, 33774

Step-4: Factors of 67555

List of positive integer factors of 67555 that divides 67548 without a remainder.

1, 5, 59, 229, 295, 1145, 13511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67548 and 67555. The biggest common factor number is the GCF number.
So the greatest common factor 67548 and 67555 is 1.

Also check out the Least Common Multiple of 67548 and 67555