What is the Greatest Common Factor of 46361 and 46381?

Greatest common factor (GCF) of 46361 and 46381 is 1.

GCF(46361,46381) = 1

We will now calculate the prime factors of 46361 and 46381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46361 and 46381.

How to find the GCF of 46361 and 46381?

We will first find the prime factorization of 46361 and 46381. After we will calculate the factors of 46361 and 46381 and find the biggest common factor number .

Step-1: Prime Factorization of 46361

Prime factors of 46361 are 7, 37, 179. Prime factorization of 46361 in exponential form is:

46361 = 7¹ × 37¹ × 179¹

Step-2: Prime Factorization of 46381

Prime factors of 46381 are 46381. Prime factorization of 46381 in exponential form is:

46381 = 46381¹

Step-3: Factors of 46361

List of positive integer factors of 46361 that divides 46361 without a remainder.

1, 7, 37, 179, 259, 1253, 6623

Step-4: Factors of 46381

List of positive integer factors of 46381 that divides 46361 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46361 and 46381. The biggest common factor number is the GCF number.
So the greatest common factor 46361 and 46381 is 1.

Also check out the Least Common Multiple of 46361 and 46381