What is the Greatest Common Factor of 67541 and 67554?

Greatest common factor (GCF) of 67541 and 67554 is 1.

GCF(67541,67554) = 1

We will now calculate the prime factors of 67541 and 67554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67541 and 67554.

How to find the GCF of 67541 and 67554?

We will first find the prime factorization of 67541 and 67554. After we will calculate the factors of 67541 and 67554 and find the biggest common factor number .

Step-1: Prime Factorization of 67541

Prime factors of 67541 are 17, 29, 137. Prime factorization of 67541 in exponential form is:

67541 = 17¹ × 29¹ × 137¹

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 67541

List of positive integer factors of 67541 that divides 67541 without a remainder.

1, 17, 29, 137, 493, 2329, 3973

Step-4: Factors of 67554

List of positive integer factors of 67554 that divides 67541 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 67541 and 67554. The biggest common factor number is the GCF number.
So the greatest common factor 67541 and 67554 is 1.

Also check out the Least Common Multiple of 67541 and 67554