What is the Greatest Common Factor of 61366 and 61381?

Greatest common factor (GCF) of 61366 and 61381 is 1.

GCF(61366,61381) = 1

We will now calculate the prime factors of 61366 and 61381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61366 and 61381.

How to find the GCF of 61366 and 61381?

We will first find the prime factorization of 61366 and 61381. After we will calculate the factors of 61366 and 61381 and find the biggest common factor number .

Step-1: Prime Factorization of 61366

Prime factors of 61366 are 2, 61, 503. Prime factorization of 61366 in exponential form is:

61366 = 2¹ × 61¹ × 503¹

Step-2: Prime Factorization of 61381

Prime factors of 61381 are 61381. Prime factorization of 61381 in exponential form is:

61381 = 61381¹

Step-3: Factors of 61366

List of positive integer factors of 61366 that divides 61366 without a remainder.

1, 2, 61, 122, 503, 1006, 30683

Step-4: Factors of 61381

List of positive integer factors of 61381 that divides 61366 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61366 and 61381. The biggest common factor number is the GCF number.
So the greatest common factor 61366 and 61381 is 1.

Also check out the Least Common Multiple of 61366 and 61381