What is the Greatest Common Factor of 76164 and 76184?

Greatest common factor (GCF) of 76164 and 76184 is 4.

GCF(76164,76184) = 4

We will now calculate the prime factors of 76164 and 76184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76164 and 76184.

How to find the GCF of 76164 and 76184?

We will first find the prime factorization of 76164 and 76184. After we will calculate the factors of 76164 and 76184 and find the biggest common factor number .

Step-1: Prime Factorization of 76164

Prime factors of 76164 are 2, 3, 11, 577. Prime factorization of 76164 in exponential form is:

76164 = 2² × 3¹ × 11¹ × 577¹

Step-2: Prime Factorization of 76184

Prime factors of 76184 are 2, 89, 107. Prime factorization of 76184 in exponential form is:

76184 = 2³ × 89¹ × 107¹

Step-3: Factors of 76164

List of positive integer factors of 76164 that divides 76164 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 577, 1154, 1731, 2308, 3462, 6347, 6924, 12694, 19041, 25388, 38082

Step-4: Factors of 76184

List of positive integer factors of 76184 that divides 76164 without a remainder.

1, 2, 4, 8, 89, 107, 178, 214, 356, 428, 712, 856, 9523, 19046, 38092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76164 and 76184. The biggest common factor number is the GCF number.
So the greatest common factor 76164 and 76184 is 4.

Also check out the Least Common Multiple of 76164 and 76184