What is the Greatest Common Factor of 48054 and 48074?

Greatest common factor (GCF) of 48054 and 48074 is 2.

GCF(48054,48074) = 2

We will now calculate the prime factors of 48054 and 48074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48054 and 48074.

How to find the GCF of 48054 and 48074?

We will first find the prime factorization of 48054 and 48074. After we will calculate the factors of 48054 and 48074 and find the biggest common factor number .

Step-1: Prime Factorization of 48054

Prime factors of 48054 are 2, 3, 8009. Prime factorization of 48054 in exponential form is:

48054 = 2¹ × 3¹ × 8009¹

Step-2: Prime Factorization of 48074

Prime factors of 48074 are 2, 13, 43. Prime factorization of 48074 in exponential form is:

48074 = 2¹ × 13¹ × 43²

Step-3: Factors of 48054

List of positive integer factors of 48054 that divides 48054 without a remainder.

1, 2, 3, 6, 8009, 16018, 24027

Step-4: Factors of 48074

List of positive integer factors of 48074 that divides 48054 without a remainder.

1, 2, 13, 26, 43, 86, 559, 1118, 1849, 3698, 24037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48054 and 48074. The biggest common factor number is the GCF number.
So the greatest common factor 48054 and 48074 is 2.

Also check out the Least Common Multiple of 48054 and 48074