What is the Greatest Common Factor of 46358 and 46377?

Greatest common factor (GCF) of 46358 and 46377 is 1.

GCF(46358,46377) = 1

We will now calculate the prime factors of 46358 and 46377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46358 and 46377.

How to find the GCF of 46358 and 46377?

We will first find the prime factorization of 46358 and 46377. After we will calculate the factors of 46358 and 46377 and find the biggest common factor number .

Step-1: Prime Factorization of 46358

Prime factors of 46358 are 2, 13, 1783. Prime factorization of 46358 in exponential form is:

46358 = 2¹ × 13¹ × 1783¹

Step-2: Prime Factorization of 46377

Prime factors of 46377 are 3, 5153. Prime factorization of 46377 in exponential form is:

46377 = 3² × 5153¹

Step-3: Factors of 46358

List of positive integer factors of 46358 that divides 46358 without a remainder.

1, 2, 13, 26, 1783, 3566, 23179

Step-4: Factors of 46377

List of positive integer factors of 46377 that divides 46358 without a remainder.

1, 3, 9, 5153, 15459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46358 and 46377. The biggest common factor number is the GCF number.
So the greatest common factor 46358 and 46377 is 1.

Also check out the Least Common Multiple of 46358 and 46377