What is the Greatest Common Factor of 94510 and 94523?

Greatest common factor (GCF) of 94510 and 94523 is 13.

GCF(94510,94523) = 13

We will now calculate the prime factors of 94510 and 94523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94510 and 94523.

How to find the GCF of 94510 and 94523?

We will first find the prime factorization of 94510 and 94523. After we will calculate the factors of 94510 and 94523 and find the biggest common factor number .

Step-1: Prime Factorization of 94510

Prime factors of 94510 are 2, 5, 13, 727. Prime factorization of 94510 in exponential form is:

94510 = 2¹ × 5¹ × 13¹ × 727¹

Step-2: Prime Factorization of 94523

Prime factors of 94523 are 11, 13, 661. Prime factorization of 94523 in exponential form is:

94523 = 11¹ × 13¹ × 661¹

Step-3: Factors of 94510

List of positive integer factors of 94510 that divides 94510 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 727, 1454, 3635, 7270, 9451, 18902, 47255

Step-4: Factors of 94523

List of positive integer factors of 94523 that divides 94510 without a remainder.

1, 11, 13, 143, 661, 7271, 8593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94510 and 94523. The biggest common factor number is the GCF number.
So the greatest common factor 94510 and 94523 is 13.

Also check out the Least Common Multiple of 94510 and 94523