What is the Greatest Common Factor of 79170 and 79185?

Greatest common factor (GCF) of 79170 and 79185 is 15.

GCF(79170,79185) = 15

We will now calculate the prime factors of 79170 and 79185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79170 and 79185.

How to find the GCF of 79170 and 79185?

We will first find the prime factorization of 79170 and 79185. After we will calculate the factors of 79170 and 79185 and find the biggest common factor number .

Step-1: Prime Factorization of 79170

Prime factors of 79170 are 2, 3, 5, 7, 13, 29. Prime factorization of 79170 in exponential form is:

79170 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 79185

Prime factors of 79185 are 3, 5, 5279. Prime factorization of 79185 in exponential form is:

79185 = 3¹ × 5¹ × 5279¹

Step-3: Factors of 79170

List of positive integer factors of 79170 that divides 79170 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 29, 30, 35, 39, 42, 58, 65, 70, 78, 87, 91, 105, 130, 145, 174, 182, 195, 203, 210, 273, 290, 377, 390, 406, 435, 455, 546, 609, 754, 870, 910, 1015, 1131, 1218, 1365, 1885, 2030, 2262, 2639, 2730, 3045, 3770, 5278, 5655, 6090, 7917, 11310, 13195, 15834, 26390, 39585

Step-4: Factors of 79185

List of positive integer factors of 79185 that divides 79170 without a remainder.

1, 3, 5, 15, 5279, 15837, 26395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79170 and 79185. The biggest common factor number is the GCF number.
So the greatest common factor 79170 and 79185 is 15.

Also check out the Least Common Multiple of 79170 and 79185