What is the Greatest Common Factor of 76149 and 76164?

Greatest common factor (GCF) of 76149 and 76164 is 3.

GCF(76149,76164) = 3

We will now calculate the prime factors of 76149 and 76164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76149 and 76164.

How to find the GCF of 76149 and 76164?

We will first find the prime factorization of 76149 and 76164. After we will calculate the factors of 76149 and 76164 and find the biggest common factor number .

Step-1: Prime Factorization of 76149

Prime factors of 76149 are 3, 8461. Prime factorization of 76149 in exponential form is:

76149 = 3² × 8461¹

Step-2: 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-3: Factors of 76149

List of positive integer factors of 76149 that divides 76149 without a remainder.

1, 3, 9, 8461, 25383

Step-4: Factors of 76164

List of positive integer factors of 76164 that divides 76149 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76149 and 76164. The biggest common factor number is the GCF number.
So the greatest common factor 76149 and 76164 is 3.

Also check out the Least Common Multiple of 76149 and 76164