What is the Greatest Common Factor of 94815 and 94827?

Greatest common factor (GCF) of 94815 and 94827 is 3.

GCF(94815,94827) = 3

We will now calculate the prime factors of 94815 and 94827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94815 and 94827.

How to find the GCF of 94815 and 94827?

We will first find the prime factorization of 94815 and 94827. After we will calculate the factors of 94815 and 94827 and find the biggest common factor number .

Step-1: Prime Factorization of 94815

Prime factors of 94815 are 3, 5, 7, 43. Prime factorization of 94815 in exponential form is:

94815 = 3² × 5¹ × 7² × 43¹

Step-2: Prime Factorization of 94827

Prime factors of 94827 are 3, 73, 433. Prime factorization of 94827 in exponential form is:

94827 = 3¹ × 73¹ × 433¹

Step-3: Factors of 94815

List of positive integer factors of 94815 that divides 94815 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 43, 45, 49, 63, 105, 129, 147, 215, 245, 301, 315, 387, 441, 645, 735, 903, 1505, 1935, 2107, 2205, 2709, 4515, 6321, 10535, 13545, 18963, 31605

Step-4: Factors of 94827

List of positive integer factors of 94827 that divides 94815 without a remainder.

1, 3, 73, 219, 433, 1299, 31609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94815 and 94827. The biggest common factor number is the GCF number.
So the greatest common factor 94815 and 94827 is 3.

Also check out the Least Common Multiple of 94815 and 94827