What is the Greatest Common Factor of 80775 and 80780?

Greatest common factor (GCF) of 80775 and 80780 is 5.

GCF(80775,80780) = 5

We will now calculate the prime factors of 80775 and 80780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80775 and 80780.

How to find the GCF of 80775 and 80780?

We will first find the prime factorization of 80775 and 80780. After we will calculate the factors of 80775 and 80780 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 80780

Prime factors of 80780 are 2, 5, 7, 577. Prime factorization of 80780 in exponential form is:

80780 = 2² × 5¹ × 7¹ × 577¹

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 80780

List of positive integer factors of 80780 that divides 80775 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 577, 1154, 2308, 2885, 4039, 5770, 8078, 11540, 16156, 20195, 40390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80775 and 80780. The biggest common factor number is the GCF number.
So the greatest common factor 80775 and 80780 is 5.

Also check out the Least Common Multiple of 80775 and 80780