What is the Greatest Common Factor of 80144 and 80148?

Greatest common factor (GCF) of 80144 and 80148 is 4.

GCF(80144,80148) = 4

We will now calculate the prime factors of 80144 and 80148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80144 and 80148.

How to find the GCF of 80144 and 80148?

We will first find the prime factorization of 80144 and 80148. After we will calculate the factors of 80144 and 80148 and find the biggest common factor number .

Step-1: Prime Factorization of 80144

Prime factors of 80144 are 2, 5009. Prime factorization of 80144 in exponential form is:

80144 = 2⁴ × 5009¹

Step-2: Prime Factorization of 80148

Prime factors of 80148 are 2, 3, 6679. Prime factorization of 80148 in exponential form is:

80148 = 2² × 3¹ × 6679¹

Step-3: Factors of 80144

List of positive integer factors of 80144 that divides 80144 without a remainder.

1, 2, 4, 8, 16, 5009, 10018, 20036, 40072

Step-4: Factors of 80148

List of positive integer factors of 80148 that divides 80144 without a remainder.

1, 2, 3, 4, 6, 12, 6679, 13358, 20037, 26716, 40074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80144 and 80148. The biggest common factor number is the GCF number.
So the greatest common factor 80144 and 80148 is 4.

Also check out the Least Common Multiple of 80144 and 80148