What is the Greatest Common Factor of 80361 and 80370?

Greatest common factor (GCF) of 80361 and 80370 is 9.

GCF(80361,80370) = 9

We will now calculate the prime factors of 80361 and 80370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80361 and 80370.

How to find the GCF of 80361 and 80370?

We will first find the prime factorization of 80361 and 80370. After we will calculate the factors of 80361 and 80370 and find the biggest common factor number .

Step-1: Prime Factorization of 80361

Prime factors of 80361 are 3, 8929. Prime factorization of 80361 in exponential form is:

80361 = 3² × 8929¹

Step-2: Prime Factorization of 80370

Prime factors of 80370 are 2, 3, 5, 19, 47. Prime factorization of 80370 in exponential form is:

80370 = 2¹ × 3² × 5¹ × 19¹ × 47¹

Step-3: Factors of 80361

List of positive integer factors of 80361 that divides 80361 without a remainder.

1, 3, 9, 8929, 26787

Step-4: Factors of 80370

List of positive integer factors of 80370 that divides 80361 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 47, 57, 90, 94, 95, 114, 141, 171, 190, 235, 282, 285, 342, 423, 470, 570, 705, 846, 855, 893, 1410, 1710, 1786, 2115, 2679, 4230, 4465, 5358, 8037, 8930, 13395, 16074, 26790, 40185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80361 and 80370. The biggest common factor number is the GCF number.
So the greatest common factor 80361 and 80370 is 9.

Also check out the Least Common Multiple of 80361 and 80370