What is the Greatest Common Factor of 22420 and 22439?

Greatest common factor (GCF) of 22420 and 22439 is 19.

GCF(22420,22439) = 19

We will now calculate the prime factors of 22420 and 22439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22420 and 22439.

How to find the GCF of 22420 and 22439?

We will first find the prime factorization of 22420 and 22439. After we will calculate the factors of 22420 and 22439 and find the biggest common factor number .

Step-1: Prime Factorization of 22420

Prime factors of 22420 are 2, 5, 19, 59. Prime factorization of 22420 in exponential form is:

22420 = 2² × 5¹ × 19¹ × 59¹

Step-2: Prime Factorization of 22439

Prime factors of 22439 are 19, 1181. Prime factorization of 22439 in exponential form is:

22439 = 19¹ × 1181¹

Step-3: Factors of 22420

List of positive integer factors of 22420 that divides 22420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 59, 76, 95, 118, 190, 236, 295, 380, 590, 1121, 1180, 2242, 4484, 5605, 11210

Step-4: Factors of 22439

List of positive integer factors of 22439 that divides 22420 without a remainder.

1, 19, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22420 and 22439. The biggest common factor number is the GCF number.
So the greatest common factor 22420 and 22439 is 19.

Also check out the Least Common Multiple of 22420 and 22439