What is the Greatest Common Factor of 94048 and 94064?

Greatest common factor (GCF) of 94048 and 94064 is 16.

GCF(94048,94064) = 16

We will now calculate the prime factors of 94048 and 94064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94048 and 94064.

How to find the GCF of 94048 and 94064?

We will first find the prime factorization of 94048 and 94064. After we will calculate the factors of 94048 and 94064 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 94064

Prime factors of 94064 are 2, 5879. Prime factorization of 94064 in exponential form is:

94064 = 2⁴ × 5879¹

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 94064

List of positive integer factors of 94064 that divides 94048 without a remainder.

1, 2, 4, 8, 16, 5879, 11758, 23516, 47032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94048 and 94064. The biggest common factor number is the GCF number.
So the greatest common factor 94048 and 94064 is 16.

Also check out the Least Common Multiple of 94048 and 94064