What is the Greatest Common Factor of 79170 and 79176?

Greatest common factor (GCF) of 79170 and 79176 is 6.

GCF(79170,79176) = 6

We will now calculate the prime factors of 79170 and 79176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79170 and 79176.

How to find the GCF of 79170 and 79176?

We will first find the prime factorization of 79170 and 79176. After we will calculate the factors of 79170 and 79176 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 79176

Prime factors of 79176 are 2, 3, 3299. Prime factorization of 79176 in exponential form is:

79176 = 2³ × 3¹ × 3299¹

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 79176

List of positive integer factors of 79176 that divides 79170 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3299, 6598, 9897, 13196, 19794, 26392, 39588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79170 and 79176. The biggest common factor number is the GCF number.
So the greatest common factor 79170 and 79176 is 6.

Also check out the Least Common Multiple of 79170 and 79176