What is the Greatest Common Factor of 94544 and 94564?

Greatest common factor (GCF) of 94544 and 94564 is 4.

GCF(94544,94564) = 4

We will now calculate the prime factors of 94544 and 94564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94544 and 94564.

How to find the GCF of 94544 and 94564?

We will first find the prime factorization of 94544 and 94564. After we will calculate the factors of 94544 and 94564 and find the biggest common factor number .

Step-1: Prime Factorization of 94544

Prime factors of 94544 are 2, 19, 311. Prime factorization of 94544 in exponential form is:

94544 = 2⁴ × 19¹ × 311¹

Step-2: Prime Factorization of 94564

Prime factors of 94564 are 2, 47, 503. Prime factorization of 94564 in exponential form is:

94564 = 2² × 47¹ × 503¹

Step-3: Factors of 94544

List of positive integer factors of 94544 that divides 94544 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 311, 622, 1244, 2488, 4976, 5909, 11818, 23636, 47272

Step-4: Factors of 94564

List of positive integer factors of 94564 that divides 94544 without a remainder.

1, 2, 4, 47, 94, 188, 503, 1006, 2012, 23641, 47282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94544 and 94564. The biggest common factor number is the GCF number.
So the greatest common factor 94544 and 94564 is 4.

Also check out the Least Common Multiple of 94544 and 94564