What is the Greatest Common Factor of 49158 and 49173?

Greatest common factor (GCF) of 49158 and 49173 is 3.

GCF(49158,49173) = 3

We will now calculate the prime factors of 49158 and 49173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49158 and 49173.

How to find the GCF of 49158 and 49173?

We will first find the prime factorization of 49158 and 49173. After we will calculate the factors of 49158 and 49173 and find the biggest common factor number .

Step-1: Prime Factorization of 49158

Prime factors of 49158 are 2, 3, 2731. Prime factorization of 49158 in exponential form is:

49158 = 2¹ × 3² × 2731¹

Step-2: Prime Factorization of 49173

Prime factors of 49173 are 3, 37, 443. Prime factorization of 49173 in exponential form is:

49173 = 3¹ × 37¹ × 443¹

Step-3: Factors of 49158

List of positive integer factors of 49158 that divides 49158 without a remainder.

1, 2, 3, 6, 9, 18, 2731, 5462, 8193, 16386, 24579

Step-4: Factors of 49173

List of positive integer factors of 49173 that divides 49158 without a remainder.

1, 3, 37, 111, 443, 1329, 16391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49158 and 49173. The biggest common factor number is the GCF number.
So the greatest common factor 49158 and 49173 is 3.

Also check out the Least Common Multiple of 49158 and 49173