What is the Greatest Common Factor of 23222 and 23236?

Greatest common factor (GCF) of 23222 and 23236 is 2.

GCF(23222,23236) = 2

We will now calculate the prime factors of 23222 and 23236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23222 and 23236.

How to find the GCF of 23222 and 23236?

We will first find the prime factorization of 23222 and 23236. After we will calculate the factors of 23222 and 23236 and find the biggest common factor number .

Step-1: Prime Factorization of 23222

Prime factors of 23222 are 2, 17, 683. Prime factorization of 23222 in exponential form is:

23222 = 2¹ × 17¹ × 683¹

Step-2: Prime Factorization of 23236

Prime factors of 23236 are 2, 37, 157. Prime factorization of 23236 in exponential form is:

23236 = 2² × 37¹ × 157¹

Step-3: Factors of 23222

List of positive integer factors of 23222 that divides 23222 without a remainder.

1, 2, 17, 34, 683, 1366, 11611

Step-4: Factors of 23236

List of positive integer factors of 23236 that divides 23222 without a remainder.

1, 2, 4, 37, 74, 148, 157, 314, 628, 5809, 11618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23222 and 23236. The biggest common factor number is the GCF number.
So the greatest common factor 23222 and 23236 is 2.

Also check out the Least Common Multiple of 23222 and 23236