What is the Greatest Common Factor of 94685 and 94704?

Greatest common factor (GCF) of 94685 and 94704 is 1.

GCF(94685,94704) = 1

We will now calculate the prime factors of 94685 and 94704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94685 and 94704.

How to find the GCF of 94685 and 94704?

We will first find the prime factorization of 94685 and 94704. After we will calculate the factors of 94685 and 94704 and find the biggest common factor number .

Step-1: Prime Factorization of 94685

Prime factors of 94685 are 5, 29, 653. Prime factorization of 94685 in exponential form is:

94685 = 5¹ × 29¹ × 653¹

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 94685

List of positive integer factors of 94685 that divides 94685 without a remainder.

1, 5, 29, 145, 653, 3265, 18937

Step-4: Factors of 94704

List of positive integer factors of 94704 that divides 94685 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 94685 and 94704. The biggest common factor number is the GCF number.
So the greatest common factor 94685 and 94704 is 1.

Also check out the Least Common Multiple of 94685 and 94704