What is the Greatest Common Factor of 80644 and 80664?

Greatest common factor (GCF) of 80644 and 80664 is 4.

GCF(80644,80664) = 4

We will now calculate the prime factors of 80644 and 80664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80644 and 80664.

How to find the GCF of 80644 and 80664?

We will first find the prime factorization of 80644 and 80664. After we will calculate the factors of 80644 and 80664 and find the biggest common factor number .

Step-1: Prime Factorization of 80644

Prime factors of 80644 are 2, 20161. Prime factorization of 80644 in exponential form is:

80644 = 2² × 20161¹

Step-2: Prime Factorization of 80664

Prime factors of 80664 are 2, 3, 3361. Prime factorization of 80664 in exponential form is:

80664 = 2³ × 3¹ × 3361¹

Step-3: Factors of 80644

List of positive integer factors of 80644 that divides 80644 without a remainder.

1, 2, 4, 20161, 40322

Step-4: Factors of 80664

List of positive integer factors of 80664 that divides 80644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3361, 6722, 10083, 13444, 20166, 26888, 40332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80644 and 80664. The biggest common factor number is the GCF number.
So the greatest common factor 80644 and 80664 is 4.

Also check out the Least Common Multiple of 80644 and 80664