What is the Greatest Common Factor of 79156 and 79170?

Greatest common factor (GCF) of 79156 and 79170 is 14.

GCF(79156,79170) = 14

We will now calculate the prime factors of 79156 and 79170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79156 and 79170.

How to find the GCF of 79156 and 79170?

We will first find the prime factorization of 79156 and 79170. After we will calculate the factors of 79156 and 79170 and find the biggest common factor number .

Step-1: Prime Factorization of 79156

Prime factors of 79156 are 2, 7, 11, 257. Prime factorization of 79156 in exponential form is:

79156 = 2² × 7¹ × 11¹ × 257¹

Step-2: 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-3: Factors of 79156

List of positive integer factors of 79156 that divides 79156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 257, 308, 514, 1028, 1799, 2827, 3598, 5654, 7196, 11308, 19789, 39578

Step-4: Factors of 79170

List of positive integer factors of 79170 that divides 79156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79156 and 79170. The biggest common factor number is the GCF number.
So the greatest common factor 79156 and 79170 is 14.

Also check out the Least Common Multiple of 79156 and 79170