What is the Greatest Common Factor of 49606 and 49618?

Greatest common factor (GCF) of 49606 and 49618 is 2.

GCF(49606,49618) = 2

We will now calculate the prime factors of 49606 and 49618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49606 and 49618.

How to find the GCF of 49606 and 49618?

We will first find the prime factorization of 49606 and 49618. After we will calculate the factors of 49606 and 49618 and find the biggest common factor number .

Step-1: Prime Factorization of 49606

Prime factors of 49606 are 2, 17, 1459. Prime factorization of 49606 in exponential form is:

49606 = 2¹ × 17¹ × 1459¹

Step-2: Prime Factorization of 49618

Prime factors of 49618 are 2, 24809. Prime factorization of 49618 in exponential form is:

49618 = 2¹ × 24809¹

Step-3: Factors of 49606

List of positive integer factors of 49606 that divides 49606 without a remainder.

1, 2, 17, 34, 1459, 2918, 24803

Step-4: Factors of 49618

List of positive integer factors of 49618 that divides 49606 without a remainder.

1, 2, 24809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49606 and 49618. The biggest common factor number is the GCF number.
So the greatest common factor 49606 and 49618 is 2.

Also check out the Least Common Multiple of 49606 and 49618