What is the Greatest Common Factor of 80715 and 80721?

Greatest common factor (GCF) of 80715 and 80721 is 3.

GCF(80715,80721) = 3

We will now calculate the prime factors of 80715 and 80721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80715 and 80721.

How to find the GCF of 80715 and 80721?

We will first find the prime factorization of 80715 and 80721. After we will calculate the factors of 80715 and 80721 and find the biggest common factor number .

Step-1: Prime Factorization of 80715

Prime factors of 80715 are 3, 5, 5381. Prime factorization of 80715 in exponential form is:

80715 = 3¹ × 5¹ × 5381¹

Step-2: Prime Factorization of 80721

Prime factors of 80721 are 3, 8969. Prime factorization of 80721 in exponential form is:

80721 = 3² × 8969¹

Step-3: Factors of 80715

List of positive integer factors of 80715 that divides 80715 without a remainder.

1, 3, 5, 15, 5381, 16143, 26905

Step-4: Factors of 80721

List of positive integer factors of 80721 that divides 80715 without a remainder.

1, 3, 9, 8969, 26907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80715 and 80721. The biggest common factor number is the GCF number.
So the greatest common factor 80715 and 80721 is 3.

Also check out the Least Common Multiple of 80715 and 80721