What is the Greatest Common Factor of 80538 and 80553?

Greatest common factor (GCF) of 80538 and 80553 is 3.

GCF(80538,80553) = 3

We will now calculate the prime factors of 80538 and 80553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80538 and 80553.

How to find the GCF of 80538 and 80553?

We will first find the prime factorization of 80538 and 80553. After we will calculate the factors of 80538 and 80553 and find the biggest common factor number .

Step-1: Prime Factorization of 80538

Prime factors of 80538 are 2, 3, 31, 433. Prime factorization of 80538 in exponential form is:

80538 = 2¹ × 3¹ × 31¹ × 433¹

Step-2: Prime Factorization of 80553

Prime factors of 80553 are 3, 11, 2441. Prime factorization of 80553 in exponential form is:

80553 = 3¹ × 11¹ × 2441¹

Step-3: Factors of 80538

List of positive integer factors of 80538 that divides 80538 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 433, 866, 1299, 2598, 13423, 26846, 40269

Step-4: Factors of 80553

List of positive integer factors of 80553 that divides 80538 without a remainder.

1, 3, 11, 33, 2441, 7323, 26851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80538 and 80553. The biggest common factor number is the GCF number.
So the greatest common factor 80538 and 80553 is 3.

Also check out the Least Common Multiple of 80538 and 80553