What is the Greatest Common Factor of 80760 and 80769?

Greatest common factor (GCF) of 80760 and 80769 is 3.

GCF(80760,80769) = 3

We will now calculate the prime factors of 80760 and 80769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80760 and 80769.

How to find the GCF of 80760 and 80769?

We will first find the prime factorization of 80760 and 80769. After we will calculate the factors of 80760 and 80769 and find the biggest common factor number .

Step-1: Prime Factorization of 80760

Prime factors of 80760 are 2, 3, 5, 673. Prime factorization of 80760 in exponential form is:

80760 = 2³ × 3¹ × 5¹ × 673¹

Step-2: 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-3: Factors of 80760

List of positive integer factors of 80760 that divides 80760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 673, 1346, 2019, 2692, 3365, 4038, 5384, 6730, 8076, 10095, 13460, 16152, 20190, 26920, 40380

Step-4: Factors of 80769

List of positive integer factors of 80769 that divides 80760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80760 and 80769. The biggest common factor number is the GCF number.
So the greatest common factor 80760 and 80769 is 3.

Also check out the Least Common Multiple of 80760 and 80769