What is the Greatest Common Factor of 80144 and 80164?

Greatest common factor (GCF) of 80144 and 80164 is 4.

GCF(80144,80164) = 4

We will now calculate the prime factors of 80144 and 80164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80144 and 80164.

How to find the GCF of 80144 and 80164?

We will first find the prime factorization of 80144 and 80164. After we will calculate the factors of 80144 and 80164 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 80164

Prime factors of 80164 are 2, 7, 409. Prime factorization of 80164 in exponential form is:

80164 = 2² × 7² × 409¹

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 80164

List of positive integer factors of 80164 that divides 80144 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 409, 818, 1636, 2863, 5726, 11452, 20041, 40082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80144 and 80164. The biggest common factor number is the GCF number.
So the greatest common factor 80144 and 80164 is 4.

Also check out the Least Common Multiple of 80144 and 80164