What is the Greatest Common Factor of 46945 and 46958?

Greatest common factor (GCF) of 46945 and 46958 is 1.

GCF(46945,46958) = 1

We will now calculate the prime factors of 46945 and 46958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46945 and 46958.

How to find the GCF of 46945 and 46958?

We will first find the prime factorization of 46945 and 46958. After we will calculate the factors of 46945 and 46958 and find the biggest common factor number .

Step-1: Prime Factorization of 46945

Prime factors of 46945 are 5, 41, 229. Prime factorization of 46945 in exponential form is:

46945 = 5¹ × 41¹ × 229¹

Step-2: Prime Factorization of 46958

Prime factors of 46958 are 2, 53, 443. Prime factorization of 46958 in exponential form is:

46958 = 2¹ × 53¹ × 443¹

Step-3: Factors of 46945

List of positive integer factors of 46945 that divides 46945 without a remainder.

1, 5, 41, 205, 229, 1145, 9389

Step-4: Factors of 46958

List of positive integer factors of 46958 that divides 46945 without a remainder.

1, 2, 53, 106, 443, 886, 23479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46945 and 46958. The biggest common factor number is the GCF number.
So the greatest common factor 46945 and 46958 is 1.

Also check out the Least Common Multiple of 46945 and 46958