What is the Greatest Common Factor of 80529 and 80546?

Greatest common factor (GCF) of 80529 and 80546 is 17.

GCF(80529,80546) = 17

We will now calculate the prime factors of 80529 and 80546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80529 and 80546.

How to find the GCF of 80529 and 80546?

We will first find the prime factorization of 80529 and 80546. After we will calculate the factors of 80529 and 80546 and find the biggest common factor number .

Step-1: Prime Factorization of 80529

Prime factors of 80529 are 3, 17, 1579. Prime factorization of 80529 in exponential form is:

80529 = 3¹ × 17¹ × 1579¹

Step-2: Prime Factorization of 80546

Prime factors of 80546 are 2, 17, 23, 103. Prime factorization of 80546 in exponential form is:

80546 = 2¹ × 17¹ × 23¹ × 103¹

Step-3: Factors of 80529

List of positive integer factors of 80529 that divides 80529 without a remainder.

1, 3, 17, 51, 1579, 4737, 26843

Step-4: Factors of 80546

List of positive integer factors of 80546 that divides 80529 without a remainder.

1, 2, 17, 23, 34, 46, 103, 206, 391, 782, 1751, 2369, 3502, 4738, 40273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80529 and 80546. The biggest common factor number is the GCF number.
So the greatest common factor 80529 and 80546 is 17.

Also check out the Least Common Multiple of 80529 and 80546