What is the Greatest Common Factor of 94605 and 94623?

Greatest common factor (GCF) of 94605 and 94623 is 3.

GCF(94605,94623) = 3

We will now calculate the prime factors of 94605 and 94623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94605 and 94623.

How to find the GCF of 94605 and 94623?

We will first find the prime factorization of 94605 and 94623. After we will calculate the factors of 94605 and 94623 and find the biggest common factor number .

Step-1: Prime Factorization of 94605

Prime factors of 94605 are 3, 5, 7, 17, 53. Prime factorization of 94605 in exponential form is:

94605 = 3¹ × 5¹ × 7¹ × 17¹ × 53¹

Step-2: Prime Factorization of 94623

Prime factors of 94623 are 3, 31541. Prime factorization of 94623 in exponential form is:

94623 = 3¹ × 31541¹

Step-3: Factors of 94605

List of positive integer factors of 94605 that divides 94605 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 53, 85, 105, 119, 159, 255, 265, 357, 371, 595, 795, 901, 1113, 1785, 1855, 2703, 4505, 5565, 6307, 13515, 18921, 31535

Step-4: Factors of 94623

List of positive integer factors of 94623 that divides 94605 without a remainder.

1, 3, 31541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94605 and 94623. The biggest common factor number is the GCF number.
So the greatest common factor 94605 and 94623 is 3.

Also check out the Least Common Multiple of 94605 and 94623