What is the Greatest Common Factor of 60181 and 60200?

Greatest common factor (GCF) of 60181 and 60200 is 1.

GCF(60181,60200) = 1

We will now calculate the prime factors of 60181 and 60200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60181 and 60200.

How to find the GCF of 60181 and 60200?

We will first find the prime factorization of 60181 and 60200. After we will calculate the factors of 60181 and 60200 and find the biggest common factor number .

Step-1: Prime Factorization of 60181

Prime factors of 60181 are 11, 5471. Prime factorization of 60181 in exponential form is:

60181 = 11¹ × 5471¹

Step-2: Prime Factorization of 60200

Prime factors of 60200 are 2, 5, 7, 43. Prime factorization of 60200 in exponential form is:

60200 = 2³ × 5² × 7¹ × 43¹

Step-3: Factors of 60181

List of positive integer factors of 60181 that divides 60181 without a remainder.

1, 11, 5471

Step-4: Factors of 60200

List of positive integer factors of 60200 that divides 60181 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 43, 50, 56, 70, 86, 100, 140, 172, 175, 200, 215, 280, 301, 344, 350, 430, 602, 700, 860, 1075, 1204, 1400, 1505, 1720, 2150, 2408, 3010, 4300, 6020, 7525, 8600, 12040, 15050, 30100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60181 and 60200. The biggest common factor number is the GCF number.
So the greatest common factor 60181 and 60200 is 1.

Also check out the Least Common Multiple of 60181 and 60200