What is the Greatest Common Factor of 94512 and 94524?

Greatest common factor (GCF) of 94512 and 94524 is 12.

GCF(94512,94524) = 12

We will now calculate the prime factors of 94512 and 94524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94512 and 94524.

How to find the GCF of 94512 and 94524?

We will first find the prime factorization of 94512 and 94524. After we will calculate the factors of 94512 and 94524 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 94524

Prime factors of 94524 are 2, 3, 7877. Prime factorization of 94524 in exponential form is:

94524 = 2² × 3¹ × 7877¹

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 94524

List of positive integer factors of 94524 that divides 94512 without a remainder.

1, 2, 3, 4, 6, 12, 7877, 15754, 23631, 31508, 47262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94512 and 94524. The biggest common factor number is the GCF number.
So the greatest common factor 94512 and 94524 is 12.

Also check out the Least Common Multiple of 94512 and 94524