What is the Greatest Common Factor of 94440 and 94452?

Greatest common factor (GCF) of 94440 and 94452 is 12.

GCF(94440,94452) = 12

We will now calculate the prime factors of 94440 and 94452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94440 and 94452.

How to find the GCF of 94440 and 94452?

We will first find the prime factorization of 94440 and 94452. After we will calculate the factors of 94440 and 94452 and find the biggest common factor number .

Step-1: Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 2³ × 3¹ × 5¹ × 787¹

Step-2: Prime Factorization of 94452

Prime factors of 94452 are 2, 3, 17, 463. Prime factorization of 94452 in exponential form is:

94452 = 2² × 3¹ × 17¹ × 463¹

Step-3: Factors of 94440

List of positive integer factors of 94440 that divides 94440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 787, 1574, 2361, 3148, 3935, 4722, 6296, 7870, 9444, 11805, 15740, 18888, 23610, 31480, 47220

Step-4: Factors of 94452

List of positive integer factors of 94452 that divides 94440 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 463, 926, 1389, 1852, 2778, 5556, 7871, 15742, 23613, 31484, 47226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94440 and 94452. The biggest common factor number is the GCF number.
So the greatest common factor 94440 and 94452 is 12.

Also check out the Least Common Multiple of 94440 and 94452