What is the Greatest Common Factor of 80696 and 80710?

Greatest common factor (GCF) of 80696 and 80710 is 14.

GCF(80696,80710) = 14

We will now calculate the prime factors of 80696 and 80710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80696 and 80710.

How to find the GCF of 80696 and 80710?

We will first find the prime factorization of 80696 and 80710. After we will calculate the factors of 80696 and 80710 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 80710

Prime factors of 80710 are 2, 5, 7, 1153. Prime factorization of 80710 in exponential form is:

80710 = 2¹ × 5¹ × 7¹ × 1153¹

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 80710

List of positive integer factors of 80710 that divides 80696 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1153, 2306, 5765, 8071, 11530, 16142, 40355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80696 and 80710. The biggest common factor number is the GCF number.
So the greatest common factor 80696 and 80710 is 14.

Also check out the Least Common Multiple of 80696 and 80710