What is the Greatest Common Factor of 61364 and 61381?

Greatest common factor (GCF) of 61364 and 61381 is 1.

GCF(61364,61381) = 1

We will now calculate the prime factors of 61364 and 61381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61364 and 61381.

How to find the GCF of 61364 and 61381?

We will first find the prime factorization of 61364 and 61381. After we will calculate the factors of 61364 and 61381 and find the biggest common factor number .

Step-1: Prime Factorization of 61364

Prime factors of 61364 are 2, 23, 29. Prime factorization of 61364 in exponential form is:

61364 = 2² × 23² × 29¹

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 61364

List of positive integer factors of 61364 that divides 61364 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 529, 667, 1058, 1334, 2116, 2668, 15341, 30682

Step-4: Factors of 61381

List of positive integer factors of 61381 that divides 61364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61364 and 61381. The biggest common factor number is the GCF number.
So the greatest common factor 61364 and 61381 is 1.

Also check out the Least Common Multiple of 61364 and 61381