What is the Greatest Common Factor of 60146 and 60163?

Greatest common factor (GCF) of 60146 and 60163 is 17.

GCF(60146,60163) = 17

We will now calculate the prime factors of 60146 and 60163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60146 and 60163.

How to find the GCF of 60146 and 60163?

We will first find the prime factorization of 60146 and 60163. After we will calculate the factors of 60146 and 60163 and find the biggest common factor number .

Step-1: Prime Factorization of 60146

Prime factors of 60146 are 2, 17, 29, 61. Prime factorization of 60146 in exponential form is:

60146 = 2¹ × 17¹ × 29¹ × 61¹

Step-2: Prime Factorization of 60163

Prime factors of 60163 are 17, 3539. Prime factorization of 60163 in exponential form is:

60163 = 17¹ × 3539¹

Step-3: Factors of 60146

List of positive integer factors of 60146 that divides 60146 without a remainder.

1, 2, 17, 29, 34, 58, 61, 122, 493, 986, 1037, 1769, 2074, 3538, 30073

Step-4: Factors of 60163

List of positive integer factors of 60163 that divides 60146 without a remainder.

1, 17, 3539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60146 and 60163. The biggest common factor number is the GCF number.
So the greatest common factor 60146 and 60163 is 17.

Also check out the Least Common Multiple of 60146 and 60163