What is the Greatest Common Factor of 80769 and 80778?

Greatest common factor (GCF) of 80769 and 80778 is 3.

GCF(80769,80778) = 3

We will now calculate the prime factors of 80769 and 80778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80769 and 80778.

How to find the GCF of 80769 and 80778?

We will first find the prime factorization of 80769 and 80778. After we will calculate the factors of 80769 and 80778 and find the biggest common factor number .

Step-1: Prime Factorization of 80769

Prime factors of 80769 are 3, 13, 19, 109. Prime factorization of 80769 in exponential form is:

80769 = 3¹ × 13¹ × 19¹ × 109¹

Step-2: Prime Factorization of 80778

Prime factors of 80778 are 2, 3, 13463. Prime factorization of 80778 in exponential form is:

80778 = 2¹ × 3¹ × 13463¹

Step-3: Factors of 80769

List of positive integer factors of 80769 that divides 80769 without a remainder.

1, 3, 13, 19, 39, 57, 109, 247, 327, 741, 1417, 2071, 4251, 6213, 26923

Step-4: Factors of 80778

List of positive integer factors of 80778 that divides 80769 without a remainder.

1, 2, 3, 6, 13463, 26926, 40389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80769 and 80778. The biggest common factor number is the GCF number.
So the greatest common factor 80769 and 80778 is 3.

Also check out the Least Common Multiple of 80769 and 80778