What is the Greatest Common Factor of 80697 and 80706?

Greatest common factor (GCF) of 80697 and 80706 is 3.

GCF(80697,80706) = 3

We will now calculate the prime factors of 80697 and 80706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80697 and 80706.

How to find the GCF of 80697 and 80706?

We will first find the prime factorization of 80697 and 80706. After we will calculate the factors of 80697 and 80706 and find the biggest common factor number .

Step-1: Prime Factorization of 80697

Prime factors of 80697 are 3, 37, 727. Prime factorization of 80697 in exponential form is:

80697 = 3¹ × 37¹ × 727¹

Step-2: Prime Factorization of 80706

Prime factors of 80706 are 2, 3, 13451. Prime factorization of 80706 in exponential form is:

80706 = 2¹ × 3¹ × 13451¹

Step-3: Factors of 80697

List of positive integer factors of 80697 that divides 80697 without a remainder.

1, 3, 37, 111, 727, 2181, 26899

Step-4: Factors of 80706

List of positive integer factors of 80706 that divides 80697 without a remainder.

1, 2, 3, 6, 13451, 26902, 40353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80697 and 80706. The biggest common factor number is the GCF number.
So the greatest common factor 80697 and 80706 is 3.

Also check out the Least Common Multiple of 80697 and 80706