What is the Greatest Common Factor of 60188 and 60200?

Greatest common factor (GCF) of 60188 and 60200 is 4.

GCF(60188,60200) = 4

We will now calculate the prime factors of 60188 and 60200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60188 and 60200.

How to find the GCF of 60188 and 60200?

We will first find the prime factorization of 60188 and 60200. After we will calculate the factors of 60188 and 60200 and find the biggest common factor number .

Step-1: Prime Factorization of 60188

Prime factors of 60188 are 2, 41, 367. Prime factorization of 60188 in exponential form is:

60188 = 2² × 41¹ × 367¹

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 60188

List of positive integer factors of 60188 that divides 60188 without a remainder.

1, 2, 4, 41, 82, 164, 367, 734, 1468, 15047, 30094

Step-4: Factors of 60200

List of positive integer factors of 60200 that divides 60188 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 60188 and 60200. The biggest common factor number is the GCF number.
So the greatest common factor 60188 and 60200 is 4.

Also check out the Least Common Multiple of 60188 and 60200