What is the Greatest Common Factor of 60186 and 60194?

Greatest common factor (GCF) of 60186 and 60194 is 2.

GCF(60186,60194) = 2

We will now calculate the prime factors of 60186 and 60194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60186 and 60194.

How to find the GCF of 60186 and 60194?

We will first find the prime factorization of 60186 and 60194. After we will calculate the factors of 60186 and 60194 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 60194

Prime factors of 60194 are 2, 30097. Prime factorization of 60194 in exponential form is:

60194 = 2¹ × 30097¹

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 60194

List of positive integer factors of 60194 that divides 60186 without a remainder.

1, 2, 30097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60186 and 60194. The biggest common factor number is the GCF number.
So the greatest common factor 60186 and 60194 is 2.

Also check out the Least Common Multiple of 60186 and 60194