What is the Greatest Common Factor of 94536 and 94554?

Greatest common factor (GCF) of 94536 and 94554 is 18.

GCF(94536,94554) = 18

We will now calculate the prime factors of 94536 and 94554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94536 and 94554.

How to find the GCF of 94536 and 94554?

We will first find the prime factorization of 94536 and 94554. After we will calculate the factors of 94536 and 94554 and find the biggest common factor number .

Step-1: Prime Factorization of 94536

Prime factors of 94536 are 2, 3, 13, 101. Prime factorization of 94536 in exponential form is:

94536 = 2³ × 3² × 13¹ × 101¹

Step-2: Prime Factorization of 94554

Prime factors of 94554 are 2, 3, 17, 103. Prime factorization of 94554 in exponential form is:

94554 = 2¹ × 3³ × 17¹ × 103¹

Step-3: Factors of 94536

List of positive integer factors of 94536 that divides 94536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 101, 104, 117, 156, 202, 234, 303, 312, 404, 468, 606, 808, 909, 936, 1212, 1313, 1818, 2424, 2626, 3636, 3939, 5252, 7272, 7878, 10504, 11817, 15756, 23634, 31512, 47268

Step-4: Factors of 94554

List of positive integer factors of 94554 that divides 94536 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 103, 153, 206, 306, 309, 459, 618, 918, 927, 1751, 1854, 2781, 3502, 5253, 5562, 10506, 15759, 31518, 47277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94536 and 94554. The biggest common factor number is the GCF number.
So the greatest common factor 94536 and 94554 is 18.

Also check out the Least Common Multiple of 94536 and 94554