What is the Greatest Common Factor of 67541 and 67549?

Greatest common factor (GCF) of 67541 and 67549 is 1.

GCF(67541,67549) = 1

We will now calculate the prime factors of 67541 and 67549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67541 and 67549.

How to find the GCF of 67541 and 67549?

We will first find the prime factorization of 67541 and 67549. After we will calculate the factors of 67541 and 67549 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 67549

Prime factors of 67549 are 31, 2179. Prime factorization of 67549 in exponential form is:

67549 = 31¹ × 2179¹

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 67549

List of positive integer factors of 67549 that divides 67541 without a remainder.

1, 31, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67541 and 67549. The biggest common factor number is the GCF number.
So the greatest common factor 67541 and 67549 is 1.

Also check out the Least Common Multiple of 67541 and 67549