What is the Greatest Common Factor of 48134 and 48141?

Greatest common factor (GCF) of 48134 and 48141 is 1.

GCF(48134,48141) = 1

We will now calculate the prime factors of 48134 and 48141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48134 and 48141.

How to find the GCF of 48134 and 48141?

We will first find the prime factorization of 48134 and 48141. After we will calculate the factors of 48134 and 48141 and find the biggest common factor number .

Step-1: Prime Factorization of 48134

Prime factors of 48134 are 2, 41, 587. Prime factorization of 48134 in exponential form is:

48134 = 2¹ × 41¹ × 587¹

Step-2: Prime Factorization of 48141

Prime factors of 48141 are 3, 1783. Prime factorization of 48141 in exponential form is:

48141 = 3³ × 1783¹

Step-3: Factors of 48134

List of positive integer factors of 48134 that divides 48134 without a remainder.

1, 2, 41, 82, 587, 1174, 24067

Step-4: Factors of 48141

List of positive integer factors of 48141 that divides 48134 without a remainder.

1, 3, 9, 27, 1783, 5349, 16047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48134 and 48141. The biggest common factor number is the GCF number.
So the greatest common factor 48134 and 48141 is 1.

Also check out the Least Common Multiple of 48134 and 48141