What is the Greatest Common Factor of 76662 and 76676?

Greatest common factor (GCF) of 76662 and 76676 is 2.

GCF(76662,76676) = 2

We will now calculate the prime factors of 76662 and 76676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76662 and 76676.

How to find the GCF of 76662 and 76676?

We will first find the prime factorization of 76662 and 76676. After we will calculate the factors of 76662 and 76676 and find the biggest common factor number .

Step-1: Prime Factorization of 76662

Prime factors of 76662 are 2, 3, 4259. Prime factorization of 76662 in exponential form is:

76662 = 2¹ × 3² × 4259¹

Step-2: Prime Factorization of 76676

Prime factors of 76676 are 2, 29, 661. Prime factorization of 76676 in exponential form is:

76676 = 2² × 29¹ × 661¹

Step-3: Factors of 76662

List of positive integer factors of 76662 that divides 76662 without a remainder.

1, 2, 3, 6, 9, 18, 4259, 8518, 12777, 25554, 38331

Step-4: Factors of 76676

List of positive integer factors of 76676 that divides 76662 without a remainder.

1, 2, 4, 29, 58, 116, 661, 1322, 2644, 19169, 38338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76662 and 76676. The biggest common factor number is the GCF number.
So the greatest common factor 76662 and 76676 is 2.

Also check out the Least Common Multiple of 76662 and 76676