What is the Greatest Common Factor of 48134 and 48148?

Greatest common factor (GCF) of 48134 and 48148 is 2.

GCF(48134,48148) = 2

We will now calculate the prime factors of 48134 and 48148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48134 and 48148.

How to find the GCF of 48134 and 48148?

We will first find the prime factorization of 48134 and 48148. After we will calculate the factors of 48134 and 48148 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 48148

Prime factors of 48148 are 2, 12037. Prime factorization of 48148 in exponential form is:

48148 = 2² × 12037¹

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 48148

List of positive integer factors of 48148 that divides 48134 without a remainder.

1, 2, 4, 12037, 24074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48134 and 48148. The biggest common factor number is the GCF number.
So the greatest common factor 48134 and 48148 is 2.

Also check out the Least Common Multiple of 48134 and 48148