What is the Greatest Common Factor of 22388 and 22402?

Greatest common factor (GCF) of 22388 and 22402 is 2.

GCF(22388,22402) = 2

We will now calculate the prime factors of 22388 and 22402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22388 and 22402.

How to find the GCF of 22388 and 22402?

We will first find the prime factorization of 22388 and 22402. After we will calculate the factors of 22388 and 22402 and find the biggest common factor number .

Step-1: Prime Factorization of 22388

Prime factors of 22388 are 2, 29, 193. Prime factorization of 22388 in exponential form is:

22388 = 2² × 29¹ × 193¹

Step-2: Prime Factorization of 22402

Prime factors of 22402 are 2, 23, 487. Prime factorization of 22402 in exponential form is:

22402 = 2¹ × 23¹ × 487¹

Step-3: Factors of 22388

List of positive integer factors of 22388 that divides 22388 without a remainder.

1, 2, 4, 29, 58, 116, 193, 386, 772, 5597, 11194

Step-4: Factors of 22402

List of positive integer factors of 22402 that divides 22388 without a remainder.

1, 2, 23, 46, 487, 974, 11201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22388 and 22402. The biggest common factor number is the GCF number.
So the greatest common factor 22388 and 22402 is 2.

Also check out the Least Common Multiple of 22388 and 22402