What is the Greatest Common Factor of 94695 and 94704?

Greatest common factor (GCF) of 94695 and 94704 is 3.

GCF(94695,94704) = 3

We will now calculate the prime factors of 94695 and 94704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94695 and 94704.

How to find the GCF of 94695 and 94704?

We will first find the prime factorization of 94695 and 94704. After we will calculate the factors of 94695 and 94704 and find the biggest common factor number .

Step-1: Prime Factorization of 94695

Prime factors of 94695 are 3, 5, 59, 107. Prime factorization of 94695 in exponential form is:

94695 = 3¹ × 5¹ × 59¹ × 107¹

Step-2: Prime Factorization of 94704

Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:

94704 = 2⁴ × 3¹ × 1973¹

Step-3: Factors of 94695

List of positive integer factors of 94695 that divides 94695 without a remainder.

1, 3, 5, 15, 59, 107, 177, 295, 321, 535, 885, 1605, 6313, 18939, 31565

Step-4: Factors of 94704

List of positive integer factors of 94704 that divides 94695 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 31568, 47352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94695 and 94704. The biggest common factor number is the GCF number.
So the greatest common factor 94695 and 94704 is 3.

Also check out the Least Common Multiple of 94695 and 94704