What is the Greatest Common Factor of 46546 and 46558?

Greatest common factor (GCF) of 46546 and 46558 is 2.

GCF(46546,46558) = 2

We will now calculate the prime factors of 46546 and 46558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46546 and 46558.

How to find the GCF of 46546 and 46558?

We will first find the prime factorization of 46546 and 46558. After we will calculate the factors of 46546 and 46558 and find the biggest common factor number .

Step-1: Prime Factorization of 46546

Prime factors of 46546 are 2, 17, 37. Prime factorization of 46546 in exponential form is:

46546 = 2¹ × 17¹ × 37²

Step-2: Prime Factorization of 46558

Prime factors of 46558 are 2, 23279. Prime factorization of 46558 in exponential form is:

46558 = 2¹ × 23279¹

Step-3: Factors of 46546

List of positive integer factors of 46546 that divides 46546 without a remainder.

1, 2, 17, 34, 37, 74, 629, 1258, 1369, 2738, 23273

Step-4: Factors of 46558

List of positive integer factors of 46558 that divides 46546 without a remainder.

1, 2, 23279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46546 and 46558. The biggest common factor number is the GCF number.
So the greatest common factor 46546 and 46558 is 2.

Also check out the Least Common Multiple of 46546 and 46558