What is the Greatest Common Factor of 80370 and 80378?

Greatest common factor (GCF) of 80370 and 80378 is 2.

GCF(80370,80378) = 2

We will now calculate the prime factors of 80370 and 80378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80370 and 80378.

How to find the GCF of 80370 and 80378?

We will first find the prime factorization of 80370 and 80378. After we will calculate the factors of 80370 and 80378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80378

Prime factors of 80378 are 2, 40189. Prime factorization of 80378 in exponential form is:

80378 = 2¹ × 40189¹

Step-3: Factors of 80370

List of positive integer factors of 80370 that divides 80370 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

Step-4: Factors of 80378

List of positive integer factors of 80378 that divides 80370 without a remainder.

1, 2, 40189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80370 and 80378. The biggest common factor number is the GCF number.
So the greatest common factor 80370 and 80378 is 2.

Also check out the Least Common Multiple of 80370 and 80378