What is the Greatest Common Factor of 80820 and 80835?

Greatest common factor (GCF) of 80820 and 80835 is 15.

GCF(80820,80835) = 15

We will now calculate the prime factors of 80820 and 80835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80820 and 80835.

How to find the GCF of 80820 and 80835?

We will first find the prime factorization of 80820 and 80835. After we will calculate the factors of 80820 and 80835 and find the biggest common factor number .

Step-1: Prime Factorization of 80820

Prime factors of 80820 are 2, 3, 5, 449. Prime factorization of 80820 in exponential form is:

80820 = 2² × 3² × 5¹ × 449¹

Step-2: 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-3: Factors of 80820

List of positive integer factors of 80820 that divides 80820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 449, 898, 1347, 1796, 2245, 2694, 4041, 4490, 5388, 6735, 8082, 8980, 13470, 16164, 20205, 26940, 40410

Step-4: Factors of 80835

List of positive integer factors of 80835 that divides 80820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80820 and 80835. The biggest common factor number is the GCF number.
So the greatest common factor 80820 and 80835 is 15.

Also check out the Least Common Multiple of 80820 and 80835