What is the Greatest Common Factor of 23219 and 23225?

Greatest common factor (GCF) of 23219 and 23225 is 1.

GCF(23219,23225) = 1

We will now calculate the prime factors of 23219 and 23225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23219 and 23225.

How to find the GCF of 23219 and 23225?

We will first find the prime factorization of 23219 and 23225. After we will calculate the factors of 23219 and 23225 and find the biggest common factor number .

Step-1: Prime Factorization of 23219

Prime factors of 23219 are 7, 31, 107. Prime factorization of 23219 in exponential form is:

23219 = 7¹ × 31¹ × 107¹

Step-2: Prime Factorization of 23225

Prime factors of 23225 are 5, 929. Prime factorization of 23225 in exponential form is:

23225 = 5² × 929¹

Step-3: Factors of 23219

List of positive integer factors of 23219 that divides 23219 without a remainder.

1, 7, 31, 107, 217, 749, 3317

Step-4: Factors of 23225

List of positive integer factors of 23225 that divides 23219 without a remainder.

1, 5, 25, 929, 4645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23219 and 23225. The biggest common factor number is the GCF number.
So the greatest common factor 23219 and 23225 is 1.

Also check out the Least Common Multiple of 23219 and 23225