What is the Greatest Common Factor of 22313 and 22322?

Greatest common factor (GCF) of 22313 and 22322 is 1.

GCF(22313,22322) = 1

We will now calculate the prime factors of 22313 and 22322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22313 and 22322.

How to find the GCF of 22313 and 22322?

We will first find the prime factorization of 22313 and 22322. After we will calculate the factors of 22313 and 22322 and find the biggest common factor number .

Step-1: Prime Factorization of 22313

Prime factors of 22313 are 53, 421. Prime factorization of 22313 in exponential form is:

22313 = 53¹ × 421¹

Step-2: Prime Factorization of 22322

Prime factors of 22322 are 2, 11161. Prime factorization of 22322 in exponential form is:

22322 = 2¹ × 11161¹

Step-3: Factors of 22313

List of positive integer factors of 22313 that divides 22313 without a remainder.

1, 53, 421

Step-4: Factors of 22322

List of positive integer factors of 22322 that divides 22313 without a remainder.

1, 2, 11161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22313 and 22322. The biggest common factor number is the GCF number.
So the greatest common factor 22313 and 22322 is 1.

Also check out the Least Common Multiple of 22313 and 22322