What is the Greatest Common Factor of 94764 and 94768?

Greatest common factor (GCF) of 94764 and 94768 is 4.

GCF(94764,94768) = 4

We will now calculate the prime factors of 94764 and 94768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94764 and 94768.

How to find the GCF of 94764 and 94768?

We will first find the prime factorization of 94764 and 94768. After we will calculate the factors of 94764 and 94768 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 94768

Prime factors of 94768 are 2, 5923. Prime factorization of 94768 in exponential form is:

94768 = 2⁴ × 5923¹

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 94768

List of positive integer factors of 94768 that divides 94764 without a remainder.

1, 2, 4, 8, 16, 5923, 11846, 23692, 47384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94764 and 94768. The biggest common factor number is the GCF number.
So the greatest common factor 94764 and 94768 is 4.

Also check out the Least Common Multiple of 94764 and 94768