What is the Greatest Common Factor of 94105 and 94125?

Greatest common factor (GCF) of 94105 and 94125 is 5.

GCF(94105,94125) = 5

We will now calculate the prime factors of 94105 and 94125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94105 and 94125.

How to find the GCF of 94105 and 94125?

We will first find the prime factorization of 94105 and 94125. After we will calculate the factors of 94105 and 94125 and find the biggest common factor number .

Step-1: Prime Factorization of 94105

Prime factors of 94105 are 5, 11, 29, 59. Prime factorization of 94105 in exponential form is:

94105 = 5¹ × 11¹ × 29¹ × 59¹

Step-2: Prime Factorization of 94125

Prime factors of 94125 are 3, 5, 251. Prime factorization of 94125 in exponential form is:

94125 = 3¹ × 5³ × 251¹

Step-3: Factors of 94105

List of positive integer factors of 94105 that divides 94105 without a remainder.

1, 5, 11, 29, 55, 59, 145, 295, 319, 649, 1595, 1711, 3245, 8555, 18821

Step-4: Factors of 94125

List of positive integer factors of 94125 that divides 94105 without a remainder.

1, 3, 5, 15, 25, 75, 125, 251, 375, 753, 1255, 3765, 6275, 18825, 31375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94105 and 94125. The biggest common factor number is the GCF number.
So the greatest common factor 94105 and 94125 is 5.

Also check out the Least Common Multiple of 94105 and 94125