What is the Greatest Common Factor of 48149 and 48166?

Greatest common factor (GCF) of 48149 and 48166 is 1.

GCF(48149,48166) = 1

We will now calculate the prime factors of 48149 and 48166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48149 and 48166.

How to find the GCF of 48149 and 48166?

We will first find the prime factorization of 48149 and 48166. After we will calculate the factors of 48149 and 48166 and find the biggest common factor number .

Step-1: Prime Factorization of 48149

Prime factors of 48149 are 89, 541. Prime factorization of 48149 in exponential form is:

48149 = 89¹ × 541¹

Step-2: Prime Factorization of 48166

Prime factors of 48166 are 2, 24083. Prime factorization of 48166 in exponential form is:

48166 = 2¹ × 24083¹

Step-3: Factors of 48149

List of positive integer factors of 48149 that divides 48149 without a remainder.

1, 89, 541

Step-4: Factors of 48166

List of positive integer factors of 48166 that divides 48149 without a remainder.

1, 2, 24083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48149 and 48166. The biggest common factor number is the GCF number.
So the greatest common factor 48149 and 48166 is 1.

Also check out the Least Common Multiple of 48149 and 48166