What is the Greatest Common Factor of 22325 and 22344?

Greatest common factor (GCF) of 22325 and 22344 is 19.

GCF(22325,22344) = 19

We will now calculate the prime factors of 22325 and 22344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22325 and 22344.

How to find the GCF of 22325 and 22344?

We will first find the prime factorization of 22325 and 22344. After we will calculate the factors of 22325 and 22344 and find the biggest common factor number .

Step-1: Prime Factorization of 22325

Prime factors of 22325 are 5, 19, 47. Prime factorization of 22325 in exponential form is:

22325 = 5² × 19¹ × 47¹

Step-2: Prime Factorization of 22344

Prime factors of 22344 are 2, 3, 7, 19. Prime factorization of 22344 in exponential form is:

22344 = 2³ × 3¹ × 7² × 19¹

Step-3: Factors of 22325

List of positive integer factors of 22325 that divides 22325 without a remainder.

1, 5, 19, 25, 47, 95, 235, 475, 893, 1175, 4465

Step-4: Factors of 22344

List of positive integer factors of 22344 that divides 22325 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 49, 56, 57, 76, 84, 98, 114, 133, 147, 152, 168, 196, 228, 266, 294, 392, 399, 456, 532, 588, 798, 931, 1064, 1176, 1596, 1862, 2793, 3192, 3724, 5586, 7448, 11172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22325 and 22344. The biggest common factor number is the GCF number.
So the greatest common factor 22325 and 22344 is 19.

Also check out the Least Common Multiple of 22325 and 22344