What is the Greatest Common Factor of 94512 and 94520?

Greatest common factor (GCF) of 94512 and 94520 is 8.

GCF(94512,94520) = 8

We will now calculate the prime factors of 94512 and 94520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94512 and 94520.

How to find the GCF of 94512 and 94520?

We will first find the prime factorization of 94512 and 94520. After we will calculate the factors of 94512 and 94520 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 94520

Prime factors of 94520 are 2, 5, 17, 139. Prime factorization of 94520 in exponential form is:

94520 = 2³ × 5¹ × 17¹ × 139¹

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 94520

List of positive integer factors of 94520 that divides 94512 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 139, 170, 278, 340, 556, 680, 695, 1112, 1390, 2363, 2780, 4726, 5560, 9452, 11815, 18904, 23630, 47260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94512 and 94520. The biggest common factor number is the GCF number.
So the greatest common factor 94512 and 94520 is 8.

Also check out the Least Common Multiple of 94512 and 94520