What is the Greatest Common Factor of 80269 and 80275?

Greatest common factor (GCF) of 80269 and 80275 is 1.

GCF(80269,80275) = 1

We will now calculate the prime factors of 80269 and 80275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80269 and 80275.

How to find the GCF of 80269 and 80275?

We will first find the prime factorization of 80269 and 80275. After we will calculate the factors of 80269 and 80275 and find the biggest common factor number .

Step-1: Prime Factorization of 80269

Prime factors of 80269 are 7, 11467. Prime factorization of 80269 in exponential form is:

80269 = 7¹ × 11467¹

Step-2: Prime Factorization of 80275

Prime factors of 80275 are 5, 13, 19. Prime factorization of 80275 in exponential form is:

80275 = 5² × 13² × 19¹

Step-3: Factors of 80269

List of positive integer factors of 80269 that divides 80269 without a remainder.

1, 7, 11467

Step-4: Factors of 80275

List of positive integer factors of 80275 that divides 80269 without a remainder.

1, 5, 13, 19, 25, 65, 95, 169, 247, 325, 475, 845, 1235, 3211, 4225, 6175, 16055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80269 and 80275. The biggest common factor number is the GCF number.
So the greatest common factor 80269 and 80275 is 1.

Also check out the Least Common Multiple of 80269 and 80275