What is the Greatest Common Factor of 60186 and 60200?

Greatest common factor (GCF) of 60186 and 60200 is 14.

GCF(60186,60200) = 14

We will now calculate the prime factors of 60186 and 60200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60186 and 60200.

How to find the GCF of 60186 and 60200?

We will first find the prime factorization of 60186 and 60200. After we will calculate the factors of 60186 and 60200 and find the biggest common factor number .

Step-1: Prime Factorization of 60186

Prime factors of 60186 are 2, 3, 7, 1433. Prime factorization of 60186 in exponential form is:

60186 = 2¹ × 3¹ × 7¹ × 1433¹

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 60186

List of positive integer factors of 60186 that divides 60186 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1433, 2866, 4299, 8598, 10031, 20062, 30093

Step-4: Factors of 60200

List of positive integer factors of 60200 that divides 60186 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 60186 and 60200. The biggest common factor number is the GCF number.
So the greatest common factor 60186 and 60200 is 14.

Also check out the Least Common Multiple of 60186 and 60200