What is the Greatest Common Factor of 61549 and 61566?

Greatest common factor (GCF) of 61549 and 61566 is 1.

GCF(61549,61566) = 1

We will now calculate the prime factors of 61549 and 61566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61549 and 61566.

How to find the GCF of 61549 and 61566?

We will first find the prime factorization of 61549 and 61566. After we will calculate the factors of 61549 and 61566 and find the biggest common factor number .

Step-1: Prime Factorization of 61549

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

61549 = 61¹ × 1009¹

Step-2: Prime Factorization of 61566

Prime factors of 61566 are 2, 3, 31, 331. Prime factorization of 61566 in exponential form is:

61566 = 2¹ × 3¹ × 31¹ × 331¹

Step-3: Factors of 61549

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

1, 61, 1009

Step-4: Factors of 61566

List of positive integer factors of 61566 that divides 61549 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 331, 662, 993, 1986, 10261, 20522, 30783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61549 and 61566. The biggest common factor number is the GCF number.
So the greatest common factor 61549 and 61566 is 1.

Also check out the Least Common Multiple of 61549 and 61566