What is the Greatest Common Factor of 80540 and 80548?

Greatest common factor (GCF) of 80540 and 80548 is 4.

GCF(80540,80548) = 4

We will now calculate the prime factors of 80540 and 80548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80540 and 80548.

How to find the GCF of 80540 and 80548?

We will first find the prime factorization of 80540 and 80548. After we will calculate the factors of 80540 and 80548 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 80548

Prime factors of 80548 are 2, 13, 1549. Prime factorization of 80548 in exponential form is:

80548 = 2² × 13¹ × 1549¹

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 80548

List of positive integer factors of 80548 that divides 80540 without a remainder.

1, 2, 4, 13, 26, 52, 1549, 3098, 6196, 20137, 40274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80540 and 80548. The biggest common factor number is the GCF number.
So the greatest common factor 80540 and 80548 is 4.

Also check out the Least Common Multiple of 80540 and 80548