What is the Greatest Common Factor of 22119 and 22125?

Greatest common factor (GCF) of 22119 and 22125 is 3.

GCF(22119,22125) = 3

We will now calculate the prime factors of 22119 and 22125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22119 and 22125.

How to find the GCF of 22119 and 22125?

We will first find the prime factorization of 22119 and 22125. After we will calculate the factors of 22119 and 22125 and find the biggest common factor number .

Step-1: Prime Factorization of 22119

Prime factors of 22119 are 3, 73, 101. Prime factorization of 22119 in exponential form is:

22119 = 3¹ × 73¹ × 101¹

Step-2: 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-3: Factors of 22119

List of positive integer factors of 22119 that divides 22119 without a remainder.

1, 3, 73, 101, 219, 303, 7373

Step-4: Factors of 22125

List of positive integer factors of 22125 that divides 22119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22119 and 22125. The biggest common factor number is the GCF number.
So the greatest common factor 22119 and 22125 is 3.

Also check out the Least Common Multiple of 22119 and 22125