What is the Greatest Common Factor of 22838 and 22852?

Greatest common factor (GCF) of 22838 and 22852 is 2.

GCF(22838,22852) = 2

We will now calculate the prime factors of 22838 and 22852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22838 and 22852.

How to find the GCF of 22838 and 22852?

We will first find the prime factorization of 22838 and 22852. After we will calculate the factors of 22838 and 22852 and find the biggest common factor number .

Step-1: Prime Factorization of 22838

Prime factors of 22838 are 2, 19, 601. Prime factorization of 22838 in exponential form is:

22838 = 2¹ × 19¹ × 601¹

Step-2: Prime Factorization of 22852

Prime factors of 22852 are 2, 29, 197. Prime factorization of 22852 in exponential form is:

22852 = 2² × 29¹ × 197¹

Step-3: Factors of 22838

List of positive integer factors of 22838 that divides 22838 without a remainder.

1, 2, 19, 38, 601, 1202, 11419

Step-4: Factors of 22852

List of positive integer factors of 22852 that divides 22838 without a remainder.

1, 2, 4, 29, 58, 116, 197, 394, 788, 5713, 11426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22838 and 22852. The biggest common factor number is the GCF number.
So the greatest common factor 22838 and 22852 is 2.

Also check out the Least Common Multiple of 22838 and 22852