What is the Greatest Common Factor of 94105 and 94123?

Greatest common factor (GCF) of 94105 and 94123 is 1.

GCF(94105,94123) = 1

We will now calculate the prime factors of 94105 and 94123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94105 and 94123.

How to find the GCF of 94105 and 94123?

We will first find the prime factorization of 94105 and 94123. After we will calculate the factors of 94105 and 94123 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 94123

Prime factors of 94123 are 61, 1543. Prime factorization of 94123 in exponential form is:

94123 = 61¹ × 1543¹

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 94123

List of positive integer factors of 94123 that divides 94105 without a remainder.

1, 61, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94105 and 94123. The biggest common factor number is the GCF number.
So the greatest common factor 94105 and 94123 is 1.

Also check out the Least Common Multiple of 94105 and 94123