What is the Greatest Common Factor of 46374 and 46391?

Greatest common factor (GCF) of 46374 and 46391 is 1.

GCF(46374,46391) = 1

We will now calculate the prime factors of 46374 and 46391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46374 and 46391.

How to find the GCF of 46374 and 46391?

We will first find the prime factorization of 46374 and 46391. After we will calculate the factors of 46374 and 46391 and find the biggest common factor number .

Step-1: Prime Factorization of 46374

Prime factors of 46374 are 2, 3, 59, 131. Prime factorization of 46374 in exponential form is:

46374 = 2¹ × 3¹ × 59¹ × 131¹

Step-2: Prime Factorization of 46391

Prime factors of 46391 are 23, 2017. Prime factorization of 46391 in exponential form is:

46391 = 23¹ × 2017¹

Step-3: Factors of 46374

List of positive integer factors of 46374 that divides 46374 without a remainder.

1, 2, 3, 6, 59, 118, 131, 177, 262, 354, 393, 786, 7729, 15458, 23187

Step-4: Factors of 46391

List of positive integer factors of 46391 that divides 46374 without a remainder.

1, 23, 2017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46374 and 46391. The biggest common factor number is the GCF number.
So the greatest common factor 46374 and 46391 is 1.

Also check out the Least Common Multiple of 46374 and 46391