What is the Greatest Common Factor of 79150 and 79170?

Greatest common factor (GCF) of 79150 and 79170 is 10.

GCF(79150,79170) = 10

We will now calculate the prime factors of 79150 and 79170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79150 and 79170.

How to find the GCF of 79150 and 79170?

We will first find the prime factorization of 79150 and 79170. After we will calculate the factors of 79150 and 79170 and find the biggest common factor number .

Step-1: Prime Factorization of 79150

Prime factors of 79150 are 2, 5, 1583. Prime factorization of 79150 in exponential form is:

79150 = 2¹ × 5² × 1583¹

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 79150

List of positive integer factors of 79150 that divides 79150 without a remainder.

1, 2, 5, 10, 25, 50, 1583, 3166, 7915, 15830, 39575

Step-4: Factors of 79170

List of positive integer factors of 79170 that divides 79150 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 79150 and 79170. The biggest common factor number is the GCF number.
So the greatest common factor 79150 and 79170 is 10.

Also check out the Least Common Multiple of 79150 and 79170