What is the Greatest Common Factor of 67548 and 67565?

Greatest common factor (GCF) of 67548 and 67565 is 1.

GCF(67548,67565) = 1

We will now calculate the prime factors of 67548 and 67565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67548 and 67565.

How to find the GCF of 67548 and 67565?

We will first find the prime factorization of 67548 and 67565. After we will calculate the factors of 67548 and 67565 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 67565

Prime factors of 67565 are 5, 13513. Prime factorization of 67565 in exponential form is:

67565 = 5¹ × 13513¹

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 67565

List of positive integer factors of 67565 that divides 67548 without a remainder.

1, 5, 13513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67548 and 67565. The biggest common factor number is the GCF number.
So the greatest common factor 67548 and 67565 is 1.

Also check out the Least Common Multiple of 67548 and 67565