What is the Greatest Common Factor of 94525 and 94545?

Greatest common factor (GCF) of 94525 and 94545 is 5.

GCF(94525,94545) = 5

We will now calculate the prime factors of 94525 and 94545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94525 and 94545.

How to find the GCF of 94525 and 94545?

We will first find the prime factorization of 94525 and 94545. After we will calculate the factors of 94525 and 94545 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 94545

Prime factors of 94545 are 3, 5, 11, 191. Prime factorization of 94545 in exponential form is:

94545 = 3² × 5¹ × 11¹ × 191¹

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 94545

List of positive integer factors of 94545 that divides 94525 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 191, 495, 573, 955, 1719, 2101, 2865, 6303, 8595, 10505, 18909, 31515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94525 and 94545. The biggest common factor number is the GCF number.
So the greatest common factor 94525 and 94545 is 5.

Also check out the Least Common Multiple of 94525 and 94545