What is the Greatest Common Factor of 80775 and 80787?

Greatest common factor (GCF) of 80775 and 80787 is 3.

GCF(80775,80787) = 3

We will now calculate the prime factors of 80775 and 80787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80775 and 80787.

How to find the GCF of 80775 and 80787?

We will first find the prime factorization of 80775 and 80787. After we will calculate the factors of 80775 and 80787 and find the biggest common factor number .

Step-1: Prime Factorization of 80775

Prime factors of 80775 are 3, 5, 359. Prime factorization of 80775 in exponential form is:

80775 = 3² × 5² × 359¹

Step-2: Prime Factorization of 80787

Prime factors of 80787 are 3, 7, 3847. Prime factorization of 80787 in exponential form is:

80787 = 3¹ × 7¹ × 3847¹

Step-3: Factors of 80775

List of positive integer factors of 80775 that divides 80775 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 359, 1077, 1795, 3231, 5385, 8975, 16155, 26925

Step-4: Factors of 80787

List of positive integer factors of 80787 that divides 80775 without a remainder.

1, 3, 7, 21, 3847, 11541, 26929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80775 and 80787. The biggest common factor number is the GCF number.
So the greatest common factor 80775 and 80787 is 3.

Also check out the Least Common Multiple of 80775 and 80787