What is the Greatest Common Factor of 22137 and 22143?

Greatest common factor (GCF) of 22137 and 22143 is 3.

GCF(22137,22143) = 3

We will now calculate the prime factors of 22137 and 22143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22137 and 22143.

How to find the GCF of 22137 and 22143?

We will first find the prime factorization of 22137 and 22143. After we will calculate the factors of 22137 and 22143 and find the biggest common factor number .

Step-1: Prime Factorization of 22137

Prime factors of 22137 are 3, 47, 157. Prime factorization of 22137 in exponential form is:

22137 = 3¹ × 47¹ × 157¹

Step-2: Prime Factorization of 22143

Prime factors of 22143 are 3, 11, 61. Prime factorization of 22143 in exponential form is:

22143 = 3¹ × 11² × 61¹

Step-3: Factors of 22137

List of positive integer factors of 22137 that divides 22137 without a remainder.

1, 3, 47, 141, 157, 471, 7379

Step-4: Factors of 22143

List of positive integer factors of 22143 that divides 22137 without a remainder.

1, 3, 11, 33, 61, 121, 183, 363, 671, 2013, 7381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22137 and 22143. The biggest common factor number is the GCF number.
So the greatest common factor 22137 and 22143 is 3.

Also check out the Least Common Multiple of 22137 and 22143