What is the Greatest Common Factor of 80245 and 80261?

Greatest common factor (GCF) of 80245 and 80261 is 1.

GCF(80245,80261) = 1

We will now calculate the prime factors of 80245 and 80261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80245 and 80261.

How to find the GCF of 80245 and 80261?

We will first find the prime factorization of 80245 and 80261. After we will calculate the factors of 80245 and 80261 and find the biggest common factor number .

Step-1: Prime Factorization of 80245

Prime factors of 80245 are 5, 11, 1459. Prime factorization of 80245 in exponential form is:

80245 = 5¹ × 11¹ × 1459¹

Step-2: Prime Factorization of 80261

Prime factors of 80261 are 83, 967. Prime factorization of 80261 in exponential form is:

80261 = 83¹ × 967¹

Step-3: Factors of 80245

List of positive integer factors of 80245 that divides 80245 without a remainder.

1, 5, 11, 55, 1459, 7295, 16049

Step-4: Factors of 80261

List of positive integer factors of 80261 that divides 80245 without a remainder.

1, 83, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80245 and 80261. The biggest common factor number is the GCF number.
So the greatest common factor 80245 and 80261 is 1.

Also check out the Least Common Multiple of 80245 and 80261