What is the Greatest Common Factor of 22125 and 22131?

Greatest common factor (GCF) of 22125 and 22131 is 3.

GCF(22125,22131) = 3

We will now calculate the prime factors of 22125 and 22131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22125 and 22131.

How to find the GCF of 22125 and 22131?

We will first find the prime factorization of 22125 and 22131. After we will calculate the factors of 22125 and 22131 and find the biggest common factor number .

Step-1: Prime Factorization of 22125

Prime factors of 22125 are 3, 5, 59. Prime factorization of 22125 in exponential form is:

22125 = 3¹ × 5³ × 59¹

Step-2: Prime Factorization of 22131

Prime factors of 22131 are 3, 2459. Prime factorization of 22131 in exponential form is:

22131 = 3² × 2459¹

Step-3: Factors of 22125

List of positive integer factors of 22125 that divides 22125 without a remainder.

1, 3, 5, 15, 25, 59, 75, 125, 177, 295, 375, 885, 1475, 4425, 7375

Step-4: Factors of 22131

List of positive integer factors of 22131 that divides 22125 without a remainder.

1, 3, 9, 2459, 7377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22125 and 22131. The biggest common factor number is the GCF number.
So the greatest common factor 22125 and 22131 is 3.

Also check out the Least Common Multiple of 22125 and 22131