What is the Greatest Common Factor of 94048 and 94054?

Greatest common factor (GCF) of 94048 and 94054 is 2.

GCF(94048,94054) = 2

We will now calculate the prime factors of 94048 and 94054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94048 and 94054.

How to find the GCF of 94048 and 94054?

We will first find the prime factorization of 94048 and 94054. After we will calculate the factors of 94048 and 94054 and find the biggest common factor number .

Step-1: Prime Factorization of 94048

Prime factors of 94048 are 2, 2939. Prime factorization of 94048 in exponential form is:

94048 = 2⁵ × 2939¹

Step-2: Prime Factorization of 94054

Prime factors of 94054 are 2, 31, 37, 41. Prime factorization of 94054 in exponential form is:

94054 = 2¹ × 31¹ × 37¹ × 41¹

Step-3: Factors of 94048

List of positive integer factors of 94048 that divides 94048 without a remainder.

1, 2, 4, 8, 16, 32, 2939, 5878, 11756, 23512, 47024

Step-4: Factors of 94054

List of positive integer factors of 94054 that divides 94048 without a remainder.

1, 2, 31, 37, 41, 62, 74, 82, 1147, 1271, 1517, 2294, 2542, 3034, 47027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94048 and 94054. The biggest common factor number is the GCF number.
So the greatest common factor 94048 and 94054 is 2.

Also check out the Least Common Multiple of 94048 and 94054