What is the Greatest Common Factor of 79170 and 79190?

Greatest common factor (GCF) of 79170 and 79190 is 10.

GCF(79170,79190) = 10

We will now calculate the prime factors of 79170 and 79190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79170 and 79190.

How to find the GCF of 79170 and 79190?

We will first find the prime factorization of 79170 and 79190. After we will calculate the factors of 79170 and 79190 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 79190

Prime factors of 79190 are 2, 5, 7919. Prime factorization of 79190 in exponential form is:

79190 = 2¹ × 5¹ × 7919¹

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 79190

List of positive integer factors of 79190 that divides 79170 without a remainder.

1, 2, 5, 10, 7919, 15838, 39595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79170 and 79190. The biggest common factor number is the GCF number.
So the greatest common factor 79170 and 79190 is 10.

Also check out the Least Common Multiple of 79170 and 79190