What is the Greatest Common Factor of 94435 and 94452?

Greatest common factor (GCF) of 94435 and 94452 is 17.

GCF(94435,94452) = 17

We will now calculate the prime factors of 94435 and 94452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94435 and 94452.

How to find the GCF of 94435 and 94452?

We will first find the prime factorization of 94435 and 94452. After we will calculate the factors of 94435 and 94452 and find the biggest common factor number .

Step-1: Prime Factorization of 94435

Prime factors of 94435 are 5, 11, 17, 101. Prime factorization of 94435 in exponential form is:

94435 = 5¹ × 11¹ × 17¹ × 101¹

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 94435

List of positive integer factors of 94435 that divides 94435 without a remainder.

1, 5, 11, 17, 55, 85, 101, 187, 505, 935, 1111, 1717, 5555, 8585, 18887

Step-4: Factors of 94452

List of positive integer factors of 94452 that divides 94435 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 94435 and 94452. The biggest common factor number is the GCF number.
So the greatest common factor 94435 and 94452 is 17.

Also check out the Least Common Multiple of 94435 and 94452