What is the Greatest Common Factor of 94564 and 94582?

Greatest common factor (GCF) of 94564 and 94582 is 2.

GCF(94564,94582) = 2

We will now calculate the prime factors of 94564 and 94582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94564 and 94582.

How to find the GCF of 94564 and 94582?

We will first find the prime factorization of 94564 and 94582. After we will calculate the factors of 94564 and 94582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94582

Prime factors of 94582 are 2, 19, 131. Prime factorization of 94582 in exponential form is:

94582 = 2¹ × 19² × 131¹

Step-3: Factors of 94564

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

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

Step-4: Factors of 94582

List of positive integer factors of 94582 that divides 94564 without a remainder.

1, 2, 19, 38, 131, 262, 361, 722, 2489, 4978, 47291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94564 and 94582. The biggest common factor number is the GCF number.
So the greatest common factor 94564 and 94582 is 2.

Also check out the Least Common Multiple of 94564 and 94582