What is the Greatest Common Factor of 80759 and 80773?

Greatest common factor (GCF) of 80759 and 80773 is 7.

GCF(80759,80773) = 7

We will now calculate the prime factors of 80759 and 80773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80759 and 80773.

How to find the GCF of 80759 and 80773?

We will first find the prime factorization of 80759 and 80773. After we will calculate the factors of 80759 and 80773 and find the biggest common factor number .

Step-1: Prime Factorization of 80759

Prime factors of 80759 are 7, 83, 139. Prime factorization of 80759 in exponential form is:

80759 = 7¹ × 83¹ × 139¹

Step-2: Prime Factorization of 80773

Prime factors of 80773 are 7, 11, 1049. Prime factorization of 80773 in exponential form is:

80773 = 7¹ × 11¹ × 1049¹

Step-3: Factors of 80759

List of positive integer factors of 80759 that divides 80759 without a remainder.

1, 7, 83, 139, 581, 973, 11537

Step-4: Factors of 80773

List of positive integer factors of 80773 that divides 80759 without a remainder.

1, 7, 11, 77, 1049, 7343, 11539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80759 and 80773. The biggest common factor number is the GCF number.
So the greatest common factor 80759 and 80773 is 7.

Also check out the Least Common Multiple of 80759 and 80773