What is the Greatest Common Factor of 94523 and 94536?

Greatest common factor (GCF) of 94523 and 94536 is 13.

GCF(94523,94536) = 13

We will now calculate the prime factors of 94523 and 94536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94523 and 94536.

How to find the GCF of 94523 and 94536?

We will first find the prime factorization of 94523 and 94536. After we will calculate the factors of 94523 and 94536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94536

Prime factors of 94536 are 2, 3, 13, 101. Prime factorization of 94536 in exponential form is:

94536 = 2³ × 3² × 13¹ × 101¹

Step-3: Factors of 94523

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

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

Step-4: Factors of 94536

List of positive integer factors of 94536 that divides 94523 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 101, 104, 117, 156, 202, 234, 303, 312, 404, 468, 606, 808, 909, 936, 1212, 1313, 1818, 2424, 2626, 3636, 3939, 5252, 7272, 7878, 10504, 11817, 15756, 23634, 31512, 47268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94523 and 94536. The biggest common factor number is the GCF number.
So the greatest common factor 94523 and 94536 is 13.

Also check out the Least Common Multiple of 94523 and 94536