What is the Greatest Common Factor of 94435 and 94446?

Greatest common factor (GCF) of 94435 and 94446 is 11.

GCF(94435,94446) = 11

We will now calculate the prime factors of 94435 and 94446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94435 and 94446.

How to find the GCF of 94435 and 94446?

We will first find the prime factorization of 94435 and 94446. After we will calculate the factors of 94435 and 94446 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 94446

Prime factors of 94446 are 2, 3, 11, 53. Prime factorization of 94446 in exponential form is:

94446 = 2¹ × 3⁴ × 11¹ × 53¹

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 94446

List of positive integer factors of 94446 that divides 94435 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 53, 54, 66, 81, 99, 106, 159, 162, 198, 297, 318, 477, 583, 594, 891, 954, 1166, 1431, 1749, 1782, 2862, 3498, 4293, 5247, 8586, 10494, 15741, 31482, 47223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94435 and 94446. The biggest common factor number is the GCF number.
So the greatest common factor 94435 and 94446 is 11.

Also check out the Least Common Multiple of 94435 and 94446