What is the Greatest Common Factor of 80540 and 80552?

Greatest common factor (GCF) of 80540 and 80552 is 4.

GCF(80540,80552) = 4

We will now calculate the prime factors of 80540 and 80552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80540 and 80552.

How to find the GCF of 80540 and 80552?

We will first find the prime factorization of 80540 and 80552. After we will calculate the factors of 80540 and 80552 and find the biggest common factor number .

Step-1: Prime Factorization of 80540

Prime factors of 80540 are 2, 5, 4027. Prime factorization of 80540 in exponential form is:

80540 = 2² × 5¹ × 4027¹

Step-2: Prime Factorization of 80552

Prime factors of 80552 are 2, 10069. Prime factorization of 80552 in exponential form is:

80552 = 2³ × 10069¹

Step-3: Factors of 80540

List of positive integer factors of 80540 that divides 80540 without a remainder.

1, 2, 4, 5, 10, 20, 4027, 8054, 16108, 20135, 40270

Step-4: Factors of 80552

List of positive integer factors of 80552 that divides 80540 without a remainder.

1, 2, 4, 8, 10069, 20138, 40276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80540 and 80552. The biggest common factor number is the GCF number.
So the greatest common factor 80540 and 80552 is 4.

Also check out the Least Common Multiple of 80540 and 80552