What is the Greatest Common Factor of 60189 and 60207?

Greatest common factor (GCF) of 60189 and 60207 is 3.

GCF(60189,60207) = 3

We will now calculate the prime factors of 60189 and 60207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60189 and 60207.

How to find the GCF of 60189 and 60207?

We will first find the prime factorization of 60189 and 60207. After we will calculate the factors of 60189 and 60207 and find the biggest common factor number .

Step-1: Prime Factorization of 60189

Prime factors of 60189 are 3, 20063. Prime factorization of 60189 in exponential form is:

60189 = 3¹ × 20063¹

Step-2: Prime Factorization of 60207

Prime factors of 60207 are 3, 7, 47, 61. Prime factorization of 60207 in exponential form is:

60207 = 3¹ × 7¹ × 47¹ × 61¹

Step-3: Factors of 60189

List of positive integer factors of 60189 that divides 60189 without a remainder.

1, 3, 20063

Step-4: Factors of 60207

List of positive integer factors of 60207 that divides 60189 without a remainder.

1, 3, 7, 21, 47, 61, 141, 183, 329, 427, 987, 1281, 2867, 8601, 20069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60189 and 60207. The biggest common factor number is the GCF number.
So the greatest common factor 60189 and 60207 is 3.

Also check out the Least Common Multiple of 60189 and 60207