What is the Greatest Common Factor of 60170 and 60175?

Greatest common factor (GCF) of 60170 and 60175 is 5.

GCF(60170,60175) = 5

We will now calculate the prime factors of 60170 and 60175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60170 and 60175.

How to find the GCF of 60170 and 60175?

We will first find the prime factorization of 60170 and 60175. After we will calculate the factors of 60170 and 60175 and find the biggest common factor number .

Step-1: Prime Factorization of 60170

Prime factors of 60170 are 2, 5, 11, 547. Prime factorization of 60170 in exponential form is:

60170 = 2¹ × 5¹ × 11¹ × 547¹

Step-2: Prime Factorization of 60175

Prime factors of 60175 are 5, 29, 83. Prime factorization of 60175 in exponential form is:

60175 = 5² × 29¹ × 83¹

Step-3: Factors of 60170

List of positive integer factors of 60170 that divides 60170 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 547, 1094, 2735, 5470, 6017, 12034, 30085

Step-4: Factors of 60175

List of positive integer factors of 60175 that divides 60170 without a remainder.

1, 5, 25, 29, 83, 145, 415, 725, 2075, 2407, 12035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60170 and 60175. The biggest common factor number is the GCF number.
So the greatest common factor 60170 and 60175 is 5.

Also check out the Least Common Multiple of 60170 and 60175