What is the Greatest Common Factor of 94512 and 94528?

Greatest common factor (GCF) of 94512 and 94528 is 16.

GCF(94512,94528) = 16

We will now calculate the prime factors of 94512 and 94528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94512 and 94528.

How to find the GCF of 94512 and 94528?

We will first find the prime factorization of 94512 and 94528. After we will calculate the factors of 94512 and 94528 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 94528

Prime factors of 94528 are 2, 7, 211. Prime factorization of 94528 in exponential form is:

94528 = 2⁶ × 7¹ × 211¹

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 94528

List of positive integer factors of 94528 that divides 94512 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 211, 224, 422, 448, 844, 1477, 1688, 2954, 3376, 5908, 6752, 11816, 13504, 23632, 47264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94512 and 94528. The biggest common factor number is the GCF number.
So the greatest common factor 94512 and 94528 is 16.

Also check out the Least Common Multiple of 94512 and 94528