What is the Greatest Common Factor of 94764 and 94775?

Greatest common factor (GCF) of 94764 and 94775 is 1.

GCF(94764,94775) = 1

We will now calculate the prime factors of 94764 and 94775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94764 and 94775.

How to find the GCF of 94764 and 94775?

We will first find the prime factorization of 94764 and 94775. After we will calculate the factors of 94764 and 94775 and find the biggest common factor number .

Step-1: Prime Factorization of 94764

Prime factors of 94764 are 2, 3, 53, 149. Prime factorization of 94764 in exponential form is:

94764 = 2² × 3¹ × 53¹ × 149¹

Step-2: Prime Factorization of 94775

Prime factors of 94775 are 5, 17, 223. Prime factorization of 94775 in exponential form is:

94775 = 5² × 17¹ × 223¹

Step-3: Factors of 94764

List of positive integer factors of 94764 that divides 94764 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 149, 159, 212, 298, 318, 447, 596, 636, 894, 1788, 7897, 15794, 23691, 31588, 47382

Step-4: Factors of 94775

List of positive integer factors of 94775 that divides 94764 without a remainder.

1, 5, 17, 25, 85, 223, 425, 1115, 3791, 5575, 18955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94764 and 94775. The biggest common factor number is the GCF number.
So the greatest common factor 94764 and 94775 is 1.

Also check out the Least Common Multiple of 94764 and 94775