What is the Greatest Common Factor of 80761 and 80765?

Greatest common factor (GCF) of 80761 and 80765 is 1.

GCF(80761,80765) = 1

We will now calculate the prime factors of 80761 and 80765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80761 and 80765.

How to find the GCF of 80761 and 80765?

We will first find the prime factorization of 80761 and 80765. After we will calculate the factors of 80761 and 80765 and find the biggest common factor number .

Step-1: Prime Factorization of 80761

Prime factors of 80761 are 80761. Prime factorization of 80761 in exponential form is:

80761 = 80761¹

Step-2: Prime Factorization of 80765

Prime factors of 80765 are 5, 29, 557. Prime factorization of 80765 in exponential form is:

80765 = 5¹ × 29¹ × 557¹

Step-3: Factors of 80761

List of positive integer factors of 80761 that divides 80761 without a remainder.

Step-4: Factors of 80765

List of positive integer factors of 80765 that divides 80761 without a remainder.

1, 5, 29, 145, 557, 2785, 16153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80761 and 80765. The biggest common factor number is the GCF number.
So the greatest common factor 80761 and 80765 is 1.

Also check out the Least Common Multiple of 80761 and 80765