What is the Greatest Common Factor of 94512 and 94523?

Greatest common factor (GCF) of 94512 and 94523 is 11.

GCF(94512,94523) = 11

We will now calculate the prime factors of 94512 and 94523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94512 and 94523.

How to find the GCF of 94512 and 94523?

We will first find the prime factorization of 94512 and 94523. After we will calculate the factors of 94512 and 94523 and find the biggest common factor number .

Step-1: Prime Factorization of 94512

Prime factors of 94512 are 2, 3, 11, 179. Prime factorization of 94512 in exponential form is:

94512 = 2⁴ × 3¹ × 11¹ × 179¹

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 94512

List of positive integer factors of 94512 that divides 94512 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 179, 264, 358, 528, 537, 716, 1074, 1432, 1969, 2148, 2864, 3938, 4296, 5907, 7876, 8592, 11814, 15752, 23628, 31504, 47256

Step-4: Factors of 94523

List of positive integer factors of 94523 that divides 94512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94512 and 94523. The biggest common factor number is the GCF number.
So the greatest common factor 94512 and 94523 is 11.

Also check out the Least Common Multiple of 94512 and 94523