What is the Greatest Common Factor of 48114 and 48131?

Greatest common factor (GCF) of 48114 and 48131 is 1.

GCF(48114,48131) = 1

We will now calculate the prime factors of 48114 and 48131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48114 and 48131.

How to find the GCF of 48114 and 48131?

We will first find the prime factorization of 48114 and 48131. After we will calculate the factors of 48114 and 48131 and find the biggest common factor number .

Step-1: Prime Factorization of 48114

Prime factors of 48114 are 2, 3, 11. Prime factorization of 48114 in exponential form is:

48114 = 2¹ × 3⁷ × 11¹

Step-2: Prime Factorization of 48131

Prime factors of 48131 are 48131. Prime factorization of 48131 in exponential form is:

48131 = 48131¹

Step-3: Factors of 48114

List of positive integer factors of 48114 that divides 48114 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 729, 891, 1458, 1782, 2187, 2673, 4374, 5346, 8019, 16038, 24057

Step-4: Factors of 48131

List of positive integer factors of 48131 that divides 48114 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48114 and 48131. The biggest common factor number is the GCF number.
So the greatest common factor 48114 and 48131 is 1.

Also check out the Least Common Multiple of 48114 and 48131