What is the Greatest Common Factor of 48149 and 48163?

Greatest common factor (GCF) of 48149 and 48163 is 1.

GCF(48149,48163) = 1

We will now calculate the prime factors of 48149 and 48163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48149 and 48163.

How to find the GCF of 48149 and 48163?

We will first find the prime factorization of 48149 and 48163. After we will calculate the factors of 48149 and 48163 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 48163

Prime factors of 48163 are 48163. Prime factorization of 48163 in exponential form is:

48163 = 48163¹

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 48163

List of positive integer factors of 48163 that divides 48149 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48149 and 48163. The biggest common factor number is the GCF number.
So the greatest common factor 48149 and 48163 is 1.

Also check out the Least Common Multiple of 48149 and 48163