What is the Greatest Common Factor of 48113 and 48130?

Greatest common factor (GCF) of 48113 and 48130 is 1.

GCF(48113,48130) = 1

We will now calculate the prime factors of 48113 and 48130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48113 and 48130.

How to find the GCF of 48113 and 48130?

We will first find the prime factorization of 48113 and 48130. After we will calculate the factors of 48113 and 48130 and find the biggest common factor number .

Step-1: Prime Factorization of 48113

Prime factors of 48113 are 13, 3701. Prime factorization of 48113 in exponential form is:

48113 = 13¹ × 3701¹

Step-2: Prime Factorization of 48130

Prime factors of 48130 are 2, 5, 4813. Prime factorization of 48130 in exponential form is:

48130 = 2¹ × 5¹ × 4813¹

Step-3: Factors of 48113

List of positive integer factors of 48113 that divides 48113 without a remainder.

1, 13, 3701

Step-4: Factors of 48130

List of positive integer factors of 48130 that divides 48113 without a remainder.

1, 2, 5, 10, 4813, 9626, 24065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48113 and 48130. The biggest common factor number is the GCF number.
So the greatest common factor 48113 and 48130 is 1.

Also check out the Least Common Multiple of 48113 and 48130