What is the Greatest Common Factor of 94452 and 94470?

Greatest common factor (GCF) of 94452 and 94470 is 6.

GCF(94452,94470) = 6

We will now calculate the prime factors of 94452 and 94470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94452 and 94470.

How to find the GCF of 94452 and 94470?

We will first find the prime factorization of 94452 and 94470. After we will calculate the factors of 94452 and 94470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94470

Prime factors of 94470 are 2, 3, 5, 47, 67. Prime factorization of 94470 in exponential form is:

94470 = 2¹ × 3¹ × 5¹ × 47¹ × 67¹

Step-3: Factors of 94452

List of positive integer factors of 94452 that divides 94452 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

Step-4: Factors of 94470

List of positive integer factors of 94470 that divides 94452 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 67, 94, 134, 141, 201, 235, 282, 335, 402, 470, 670, 705, 1005, 1410, 2010, 3149, 6298, 9447, 15745, 18894, 31490, 47235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94452 and 94470. The biggest common factor number is the GCF number.
So the greatest common factor 94452 and 94470 is 6.

Also check out the Least Common Multiple of 94452 and 94470