What is the Greatest Common Factor of 22402 and 22408?

Greatest common factor (GCF) of 22402 and 22408 is 2.

GCF(22402,22408) = 2

We will now calculate the prime factors of 22402 and 22408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22402 and 22408.

How to find the GCF of 22402 and 22408?

We will first find the prime factorization of 22402 and 22408. After we will calculate the factors of 22402 and 22408 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22408

Prime factors of 22408 are 2, 2801. Prime factorization of 22408 in exponential form is:

22408 = 2³ × 2801¹

Step-3: Factors of 22402

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

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

Step-4: Factors of 22408

List of positive integer factors of 22408 that divides 22402 without a remainder.

1, 2, 4, 8, 2801, 5602, 11204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22402 and 22408. The biggest common factor number is the GCF number.
So the greatest common factor 22402 and 22408 is 2.

Also check out the Least Common Multiple of 22402 and 22408