What is the Greatest Common Factor of 52838 and 52852?

Greatest common factor (GCF) of 52838 and 52852 is 2.

GCF(52838,52852) = 2

We will now calculate the prime factors of 52838 and 52852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52838 and 52852.

How to find the GCF of 52838 and 52852?

We will first find the prime factorization of 52838 and 52852. After we will calculate the factors of 52838 and 52852 and find the biggest common factor number .

Step-1: Prime Factorization of 52838

Prime factors of 52838 are 2, 29, 911. Prime factorization of 52838 in exponential form is:

52838 = 2¹ × 29¹ × 911¹

Step-2: Prime Factorization of 52852

Prime factors of 52852 are 2, 73, 181. Prime factorization of 52852 in exponential form is:

52852 = 2² × 73¹ × 181¹

Step-3: Factors of 52838

List of positive integer factors of 52838 that divides 52838 without a remainder.

1, 2, 29, 58, 911, 1822, 26419

Step-4: Factors of 52852

List of positive integer factors of 52852 that divides 52838 without a remainder.

1, 2, 4, 73, 146, 181, 292, 362, 724, 13213, 26426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52838 and 52852. The biggest common factor number is the GCF number.
So the greatest common factor 52838 and 52852 is 2.

Also check out the Least Common Multiple of 52838 and 52852