What is the Greatest Common Factor of 94525 and 94544?

Greatest common factor (GCF) of 94525 and 94544 is 19.

GCF(94525,94544) = 19

We will now calculate the prime factors of 94525 and 94544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94525 and 94544.

How to find the GCF of 94525 and 94544?

We will first find the prime factorization of 94525 and 94544. After we will calculate the factors of 94525 and 94544 and find the biggest common factor number .

Step-1: Prime Factorization of 94525

Prime factors of 94525 are 5, 19, 199. Prime factorization of 94525 in exponential form is:

94525 = 5² × 19¹ × 199¹

Step-2: 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-3: Factors of 94525

List of positive integer factors of 94525 that divides 94525 without a remainder.

1, 5, 19, 25, 95, 199, 475, 995, 3781, 4975, 18905

Step-4: Factors of 94544

List of positive integer factors of 94544 that divides 94525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94525 and 94544. The biggest common factor number is the GCF number.
So the greatest common factor 94525 and 94544 is 19.

Also check out the Least Common Multiple of 94525 and 94544