What is the Greatest Common Factor of 94044 and 94064?

Greatest common factor (GCF) of 94044 and 94064 is 4.

GCF(94044,94064) = 4

We will now calculate the prime factors of 94044 and 94064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94044 and 94064.

How to find the GCF of 94044 and 94064?

We will first find the prime factorization of 94044 and 94064. After we will calculate the factors of 94044 and 94064 and find the biggest common factor number .

Step-1: Prime Factorization of 94044

Prime factors of 94044 are 2, 3, 17, 461. Prime factorization of 94044 in exponential form is:

94044 = 2² × 3¹ × 17¹ × 461¹

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 94044

List of positive integer factors of 94044 that divides 94044 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 461, 922, 1383, 1844, 2766, 5532, 7837, 15674, 23511, 31348, 47022

Step-4: Factors of 94064

List of positive integer factors of 94064 that divides 94044 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 94044 and 94064. The biggest common factor number is the GCF number.
So the greatest common factor 94044 and 94064 is 4.

Also check out the Least Common Multiple of 94044 and 94064