What is the Greatest Common Factor of 80140 and 80144?

Greatest common factor (GCF) of 80140 and 80144 is 4.

GCF(80140,80144) = 4

We will now calculate the prime factors of 80140 and 80144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80140 and 80144.

How to find the GCF of 80140 and 80144?

We will first find the prime factorization of 80140 and 80144. After we will calculate the factors of 80140 and 80144 and find the biggest common factor number .

Step-1: Prime Factorization of 80140

Prime factors of 80140 are 2, 5, 4007. Prime factorization of 80140 in exponential form is:

80140 = 2² × 5¹ × 4007¹

Step-2: Prime Factorization of 80144

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

80144 = 2⁴ × 5009¹

Step-3: Factors of 80140

List of positive integer factors of 80140 that divides 80140 without a remainder.

1, 2, 4, 5, 10, 20, 4007, 8014, 16028, 20035, 40070

Step-4: Factors of 80144

List of positive integer factors of 80144 that divides 80140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80140 and 80144. The biggest common factor number is the GCF number.
So the greatest common factor 80140 and 80144 is 4.

Also check out the Least Common Multiple of 80140 and 80144