What is the Greatest Common Factor of 67542 and 67554?

Greatest common factor (GCF) of 67542 and 67554 is 6.

GCF(67542,67554) = 6

We will now calculate the prime factors of 67542 and 67554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67542 and 67554.

How to find the GCF of 67542 and 67554?

We will first find the prime factorization of 67542 and 67554. After we will calculate the factors of 67542 and 67554 and find the biggest common factor number .

Step-1: Prime Factorization of 67542

Prime factors of 67542 are 2, 3, 11257. Prime factorization of 67542 in exponential form is:

67542 = 2¹ × 3¹ × 11257¹

Step-2: Prime Factorization of 67554

Prime factors of 67554 are 2, 3, 139. Prime factorization of 67554 in exponential form is:

67554 = 2¹ × 3⁵ × 139¹

Step-3: Factors of 67542

List of positive integer factors of 67542 that divides 67542 without a remainder.

1, 2, 3, 6, 11257, 22514, 33771

Step-4: Factors of 67554

List of positive integer factors of 67554 that divides 67542 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 139, 162, 243, 278, 417, 486, 834, 1251, 2502, 3753, 7506, 11259, 22518, 33777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67542 and 67554. The biggest common factor number is the GCF number.
So the greatest common factor 67542 and 67554 is 6.

Also check out the Least Common Multiple of 67542 and 67554