What is the Greatest Common Factor of 80696 and 80707?

Greatest common factor (GCF) of 80696 and 80707 is 11.

GCF(80696,80707) = 11

We will now calculate the prime factors of 80696 and 80707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80696 and 80707.

How to find the GCF of 80696 and 80707?

We will first find the prime factorization of 80696 and 80707. After we will calculate the factors of 80696 and 80707 and find the biggest common factor number .

Step-1: Prime Factorization of 80696

Prime factors of 80696 are 2, 7, 11, 131. Prime factorization of 80696 in exponential form is:

80696 = 2³ × 7¹ × 11¹ × 131¹

Step-2: Prime Factorization of 80707

Prime factors of 80707 are 11, 23, 29. Prime factorization of 80707 in exponential form is:

80707 = 11² × 23¹ × 29¹

Step-3: Factors of 80696

List of positive integer factors of 80696 that divides 80696 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 131, 154, 262, 308, 524, 616, 917, 1048, 1441, 1834, 2882, 3668, 5764, 7336, 10087, 11528, 20174, 40348

Step-4: Factors of 80707

List of positive integer factors of 80707 that divides 80696 without a remainder.

1, 11, 23, 29, 121, 253, 319, 667, 2783, 3509, 7337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80696 and 80707. The biggest common factor number is the GCF number.
So the greatest common factor 80696 and 80707 is 11.

Also check out the Least Common Multiple of 80696 and 80707