What is the Greatest Common Factor of 80465 and 80474?

Greatest common factor (GCF) of 80465 and 80474 is 1.

GCF(80465,80474) = 1

We will now calculate the prime factors of 80465 and 80474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80465 and 80474.

How to find the GCF of 80465 and 80474?

We will first find the prime factorization of 80465 and 80474. After we will calculate the factors of 80465 and 80474 and find the biggest common factor number .

Step-1: Prime Factorization of 80465

Prime factors of 80465 are 5, 7, 11, 19. Prime factorization of 80465 in exponential form is:

80465 = 5¹ × 7¹ × 11² × 19¹

Step-2: Prime Factorization of 80474

Prime factors of 80474 are 2, 40237. Prime factorization of 80474 in exponential form is:

80474 = 2¹ × 40237¹

Step-3: Factors of 80465

List of positive integer factors of 80465 that divides 80465 without a remainder.

1, 5, 7, 11, 19, 35, 55, 77, 95, 121, 133, 209, 385, 605, 665, 847, 1045, 1463, 2299, 4235, 7315, 11495, 16093

Step-4: Factors of 80474

List of positive integer factors of 80474 that divides 80465 without a remainder.

1, 2, 40237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80465 and 80474. The biggest common factor number is the GCF number.
So the greatest common factor 80465 and 80474 is 1.

Also check out the Least Common Multiple of 80465 and 80474