What is the Greatest Common Factor of 80538 and 80547?

Greatest common factor (GCF) of 80538 and 80547 is 3.

GCF(80538,80547) = 3

We will now calculate the prime factors of 80538 and 80547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80538 and 80547.

How to find the GCF of 80538 and 80547?

We will first find the prime factorization of 80538 and 80547. After we will calculate the factors of 80538 and 80547 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 80547

Prime factors of 80547 are 3, 26849. Prime factorization of 80547 in exponential form is:

80547 = 3¹ × 26849¹

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 80547

List of positive integer factors of 80547 that divides 80538 without a remainder.

1, 3, 26849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80538 and 80547. The biggest common factor number is the GCF number.
So the greatest common factor 80538 and 80547 is 3.

Also check out the Least Common Multiple of 80538 and 80547