What is the Greatest Common Factor of 80835 and 80840?

Greatest common factor (GCF) of 80835 and 80840 is 5.

GCF(80835,80840) = 5

We will now calculate the prime factors of 80835 and 80840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80835 and 80840.

How to find the GCF of 80835 and 80840?

We will first find the prime factorization of 80835 and 80840. After we will calculate the factors of 80835 and 80840 and find the biggest common factor number .

Step-1: Prime Factorization of 80835

Prime factors of 80835 are 3, 5, 17, 317. Prime factorization of 80835 in exponential form is:

80835 = 3¹ × 5¹ × 17¹ × 317¹

Step-2: Prime Factorization of 80840

Prime factors of 80840 are 2, 5, 43, 47. Prime factorization of 80840 in exponential form is:

80840 = 2³ × 5¹ × 43¹ × 47¹

Step-3: Factors of 80835

List of positive integer factors of 80835 that divides 80835 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 317, 951, 1585, 4755, 5389, 16167, 26945

Step-4: Factors of 80840

List of positive integer factors of 80840 that divides 80835 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 47, 86, 94, 172, 188, 215, 235, 344, 376, 430, 470, 860, 940, 1720, 1880, 2021, 4042, 8084, 10105, 16168, 20210, 40420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80835 and 80840. The biggest common factor number is the GCF number.
So the greatest common factor 80835 and 80840 is 5.

Also check out the Least Common Multiple of 80835 and 80840