What is the Greatest Common Factor of 22401 and 22420?

Greatest common factor (GCF) of 22401 and 22420 is 19.

GCF(22401,22420) = 19

We will now calculate the prime factors of 22401 and 22420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22401 and 22420.

How to find the GCF of 22401 and 22420?

We will first find the prime factorization of 22401 and 22420. After we will calculate the factors of 22401 and 22420 and find the biggest common factor number .

Step-1: Prime Factorization of 22401

Prime factors of 22401 are 3, 19, 131. Prime factorization of 22401 in exponential form is:

22401 = 3² × 19¹ × 131¹

Step-2: 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-3: Factors of 22401

List of positive integer factors of 22401 that divides 22401 without a remainder.

1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467

Step-4: Factors of 22420

List of positive integer factors of 22420 that divides 22401 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22401 and 22420. The biggest common factor number is the GCF number.
So the greatest common factor 22401 and 22420 is 19.

Also check out the Least Common Multiple of 22401 and 22420