What is the Greatest Common Factor of 48114 and 48134?

Greatest common factor (GCF) of 48114 and 48134 is 2.

GCF(48114,48134) = 2

We will now calculate the prime factors of 48114 and 48134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48114 and 48134.

How to find the GCF of 48114 and 48134?

We will first find the prime factorization of 48114 and 48134. After we will calculate the factors of 48114 and 48134 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 48134

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

48134 = 2¹ × 41¹ × 587¹

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 48134

List of positive integer factors of 48134 that divides 48114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48114 and 48134. The biggest common factor number is the GCF number.
So the greatest common factor 48114 and 48134 is 2.

Also check out the Least Common Multiple of 48114 and 48134