What is the Greatest Common Factor of 67548 and 67563?

Greatest common factor (GCF) of 67548 and 67563 is 3.

GCF(67548,67563) = 3

We will now calculate the prime factors of 67548 and 67563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67548 and 67563.

How to find the GCF of 67548 and 67563?

We will first find the prime factorization of 67548 and 67563. After we will calculate the factors of 67548 and 67563 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 67563

Prime factors of 67563 are 3, 7507. Prime factorization of 67563 in exponential form is:

67563 = 3² × 7507¹

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 67563

List of positive integer factors of 67563 that divides 67548 without a remainder.

1, 3, 9, 7507, 22521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67548 and 67563. The biggest common factor number is the GCF number.
So the greatest common factor 67548 and 67563 is 3.

Also check out the Least Common Multiple of 67548 and 67563