What is the Greatest Common Factor of 49149 and 49167?

Greatest common factor (GCF) of 49149 and 49167 is 9.

GCF(49149,49167) = 9

We will now calculate the prime factors of 49149 and 49167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49149 and 49167.

How to find the GCF of 49149 and 49167?

We will first find the prime factorization of 49149 and 49167. After we will calculate the factors of 49149 and 49167 and find the biggest common factor number .

Step-1: Prime Factorization of 49149

Prime factors of 49149 are 3, 43, 127. Prime factorization of 49149 in exponential form is:

49149 = 3² × 43¹ × 127¹

Step-2: Prime Factorization of 49167

Prime factors of 49167 are 3, 607. Prime factorization of 49167 in exponential form is:

49167 = 3⁴ × 607¹

Step-3: Factors of 49149

List of positive integer factors of 49149 that divides 49149 without a remainder.

1, 3, 9, 43, 127, 129, 381, 387, 1143, 5461, 16383

Step-4: Factors of 49167

List of positive integer factors of 49167 that divides 49149 without a remainder.

1, 3, 9, 27, 81, 607, 1821, 5463, 16389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49149 and 49167. The biggest common factor number is the GCF number.
So the greatest common factor 49149 and 49167 is 9.

Also check out the Least Common Multiple of 49149 and 49167