What is the Greatest Common Factor of 59150 and 59170?

Greatest common factor (GCF) of 59150 and 59170 is 10.

GCF(59150,59170) = 10

We will now calculate the prime factors of 59150 and 59170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59150 and 59170.

How to find the GCF of 59150 and 59170?

We will first find the prime factorization of 59150 and 59170. After we will calculate the factors of 59150 and 59170 and find the biggest common factor number .

Step-1: Prime Factorization of 59150

Prime factors of 59150 are 2, 5, 7, 13. Prime factorization of 59150 in exponential form is:

59150 = 2¹ × 5² × 7¹ × 13²

Step-2: Prime Factorization of 59170

Prime factors of 59170 are 2, 5, 61, 97. Prime factorization of 59170 in exponential form is:

59170 = 2¹ × 5¹ × 61¹ × 97¹

Step-3: Factors of 59150

List of positive integer factors of 59150 that divides 59150 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 169, 175, 182, 325, 338, 350, 455, 650, 845, 910, 1183, 1690, 2275, 2366, 4225, 4550, 5915, 8450, 11830, 29575

Step-4: Factors of 59170

List of positive integer factors of 59170 that divides 59150 without a remainder.

1, 2, 5, 10, 61, 97, 122, 194, 305, 485, 610, 970, 5917, 11834, 29585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59150 and 59170. The biggest common factor number is the GCF number.
So the greatest common factor 59150 and 59170 is 10.

Also check out the Least Common Multiple of 59150 and 59170