What is the Greatest Common Factor of 79170 and 79183?

Greatest common factor (GCF) of 79170 and 79183 is 13.

GCF(79170,79183) = 13

We will now calculate the prime factors of 79170 and 79183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79170 and 79183.

How to find the GCF of 79170 and 79183?

We will first find the prime factorization of 79170 and 79183. After we will calculate the factors of 79170 and 79183 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 79183

Prime factors of 79183 are 13, 6091. Prime factorization of 79183 in exponential form is:

79183 = 13¹ × 6091¹

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 79183

List of positive integer factors of 79183 that divides 79170 without a remainder.

1, 13, 6091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79170 and 79183. The biggest common factor number is the GCF number.
So the greatest common factor 79170 and 79183 is 13.

Also check out the Least Common Multiple of 79170 and 79183