What is the Greatest Common Factor of 80360 and 80370?

Greatest common factor (GCF) of 80360 and 80370 is 10.

GCF(80360,80370) = 10

We will now calculate the prime factors of 80360 and 80370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80360 and 80370.

How to find the GCF of 80360 and 80370?

We will first find the prime factorization of 80360 and 80370. After we will calculate the factors of 80360 and 80370 and find the biggest common factor number .

Step-1: Prime Factorization of 80360

Prime factors of 80360 are 2, 5, 7, 41. Prime factorization of 80360 in exponential form is:

80360 = 2³ × 5¹ × 7² × 41¹

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 80360

List of positive integer factors of 80360 that divides 80360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 41, 49, 56, 70, 82, 98, 140, 164, 196, 205, 245, 280, 287, 328, 392, 410, 490, 574, 820, 980, 1148, 1435, 1640, 1960, 2009, 2296, 2870, 4018, 5740, 8036, 10045, 11480, 16072, 20090, 40180

Step-4: Factors of 80370

List of positive integer factors of 80370 that divides 80360 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 80360 and 80370. The biggest common factor number is the GCF number.
So the greatest common factor 80360 and 80370 is 10.

Also check out the Least Common Multiple of 80360 and 80370