What is the Greatest Common Factor of 94452 and 94469?

Greatest common factor (GCF) of 94452 and 94469 is 17.

GCF(94452,94469) = 17

We will now calculate the prime factors of 94452 and 94469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94452 and 94469.

How to find the GCF of 94452 and 94469?

We will first find the prime factorization of 94452 and 94469. After we will calculate the factors of 94452 and 94469 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 94469

Prime factors of 94469 are 17, 5557. Prime factorization of 94469 in exponential form is:

94469 = 17¹ × 5557¹

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 94469

List of positive integer factors of 94469 that divides 94452 without a remainder.

1, 17, 5557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94452 and 94469. The biggest common factor number is the GCF number.
So the greatest common factor 94452 and 94469 is 17.

Also check out the Least Common Multiple of 94452 and 94469