What is the Greatest Common Factor of 80358 and 80370?

Greatest common factor (GCF) of 80358 and 80370 is 6.

GCF(80358,80370) = 6

We will now calculate the prime factors of 80358 and 80370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80358 and 80370.

How to find the GCF of 80358 and 80370?

We will first find the prime factorization of 80358 and 80370. After we will calculate the factors of 80358 and 80370 and find the biggest common factor number .

Step-1: Prime Factorization of 80358

Prime factors of 80358 are 2, 3, 59, 227. Prime factorization of 80358 in exponential form is:

80358 = 2¹ × 3¹ × 59¹ × 227¹

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 80358

List of positive integer factors of 80358 that divides 80358 without a remainder.

1, 2, 3, 6, 59, 118, 177, 227, 354, 454, 681, 1362, 13393, 26786, 40179

Step-4: Factors of 80370

List of positive integer factors of 80370 that divides 80358 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 80358 and 80370. The biggest common factor number is the GCF number.
So the greatest common factor 80358 and 80370 is 6.

Also check out the Least Common Multiple of 80358 and 80370