What is the Greatest Common Factor of 80742 and 80751?

Greatest common factor (GCF) of 80742 and 80751 is 3.

GCF(80742,80751) = 3

We will now calculate the prime factors of 80742 and 80751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80742 and 80751.

How to find the GCF of 80742 and 80751?

We will first find the prime factorization of 80742 and 80751. After we will calculate the factors of 80742 and 80751 and find the biggest common factor number .

Step-1: Prime Factorization of 80742

Prime factors of 80742 are 2, 3, 13457. Prime factorization of 80742 in exponential form is:

80742 = 2¹ × 3¹ × 13457¹

Step-2: Prime Factorization of 80751

Prime factors of 80751 are 3, 11, 2447. Prime factorization of 80751 in exponential form is:

80751 = 3¹ × 11¹ × 2447¹

Step-3: Factors of 80742

List of positive integer factors of 80742 that divides 80742 without a remainder.

1, 2, 3, 6, 13457, 26914, 40371

Step-4: Factors of 80751

List of positive integer factors of 80751 that divides 80742 without a remainder.

1, 3, 11, 33, 2447, 7341, 26917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80742 and 80751. The biggest common factor number is the GCF number.
So the greatest common factor 80742 and 80751 is 3.

Also check out the Least Common Multiple of 80742 and 80751