What is the Greatest Common Factor of 76644 and 76663?

Greatest common factor (GCF) of 76644 and 76663 is 1.

GCF(76644,76663) = 1

We will now calculate the prime factors of 76644 and 76663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76644 and 76663.

How to find the GCF of 76644 and 76663?

We will first find the prime factorization of 76644 and 76663. After we will calculate the factors of 76644 and 76663 and find the biggest common factor number .

Step-1: Prime Factorization of 76644

Prime factors of 76644 are 2, 3, 2129. Prime factorization of 76644 in exponential form is:

76644 = 2² × 3² × 2129¹

Step-2: Prime Factorization of 76663

Prime factors of 76663 are 31, 2473. Prime factorization of 76663 in exponential form is:

76663 = 31¹ × 2473¹

Step-3: Factors of 76644

List of positive integer factors of 76644 that divides 76644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2129, 4258, 6387, 8516, 12774, 19161, 25548, 38322

Step-4: Factors of 76663

List of positive integer factors of 76663 that divides 76644 without a remainder.

1, 31, 2473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76644 and 76663. The biggest common factor number is the GCF number.
So the greatest common factor 76644 and 76663 is 1.

Also check out the Least Common Multiple of 76644 and 76663