What is the Greatest Common Factor of 61540 and 61549?

Greatest common factor (GCF) of 61540 and 61549 is 1.

GCF(61540,61549) = 1

We will now calculate the prime factors of 61540 and 61549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61540 and 61549.

How to find the GCF of 61540 and 61549?

We will first find the prime factorization of 61540 and 61549. After we will calculate the factors of 61540 and 61549 and find the biggest common factor number .

Step-1: Prime Factorization of 61540

Prime factors of 61540 are 2, 5, 17, 181. Prime factorization of 61540 in exponential form is:

61540 = 2² × 5¹ × 17¹ × 181¹

Step-2: Prime Factorization of 61549

Prime factors of 61549 are 61, 1009. Prime factorization of 61549 in exponential form is:

61549 = 61¹ × 1009¹

Step-3: Factors of 61540

List of positive integer factors of 61540 that divides 61540 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 181, 340, 362, 724, 905, 1810, 3077, 3620, 6154, 12308, 15385, 30770

Step-4: Factors of 61549

List of positive integer factors of 61549 that divides 61540 without a remainder.

1, 61, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61540 and 61549. The biggest common factor number is the GCF number.
So the greatest common factor 61540 and 61549 is 1.

Also check out the Least Common Multiple of 61540 and 61549