What is the Greatest Common Factor of 22419 and 22437?

Greatest common factor (GCF) of 22419 and 22437 is 9.

GCF(22419,22437) = 9

We will now calculate the prime factors of 22419 and 22437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22419 and 22437.

How to find the GCF of 22419 and 22437?

We will first find the prime factorization of 22419 and 22437. After we will calculate the factors of 22419 and 22437 and find the biggest common factor number .

Step-1: Prime Factorization of 22419

Prime factors of 22419 are 3, 47, 53. Prime factorization of 22419 in exponential form is:

22419 = 3² × 47¹ × 53¹

Step-2: Prime Factorization of 22437

Prime factors of 22437 are 3, 277. Prime factorization of 22437 in exponential form is:

22437 = 3⁴ × 277¹

Step-3: Factors of 22419

List of positive integer factors of 22419 that divides 22419 without a remainder.

1, 3, 9, 47, 53, 141, 159, 423, 477, 2491, 7473

Step-4: Factors of 22437

List of positive integer factors of 22437 that divides 22419 without a remainder.

1, 3, 9, 27, 81, 277, 831, 2493, 7479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22419 and 22437. The biggest common factor number is the GCF number.
So the greatest common factor 22419 and 22437 is 9.

Also check out the Least Common Multiple of 22419 and 22437