What is the Greatest Common Factor of 80678 and 80691?

Greatest common factor (GCF) of 80678 and 80691 is 13.

GCF(80678,80691) = 13

We will now calculate the prime factors of 80678 and 80691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80678 and 80691.

How to find the GCF of 80678 and 80691?

We will first find the prime factorization of 80678 and 80691. After we will calculate the factors of 80678 and 80691 and find the biggest common factor number .

Step-1: Prime Factorization of 80678

Prime factors of 80678 are 2, 13, 29, 107. Prime factorization of 80678 in exponential form is:

80678 = 2¹ × 13¹ × 29¹ × 107¹

Step-2: Prime Factorization of 80691

Prime factors of 80691 are 3, 13, 2069. Prime factorization of 80691 in exponential form is:

80691 = 3¹ × 13¹ × 2069¹

Step-3: Factors of 80678

List of positive integer factors of 80678 that divides 80678 without a remainder.

1, 2, 13, 26, 29, 58, 107, 214, 377, 754, 1391, 2782, 3103, 6206, 40339

Step-4: Factors of 80691

List of positive integer factors of 80691 that divides 80678 without a remainder.

1, 3, 13, 39, 2069, 6207, 26897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80678 and 80691. The biggest common factor number is the GCF number.
So the greatest common factor 80678 and 80691 is 13.

Also check out the Least Common Multiple of 80678 and 80691