What is the Greatest Common Factor of 52834 and 52852?

Greatest common factor (GCF) of 52834 and 52852 is 2.

GCF(52834,52852) = 2

We will now calculate the prime factors of 52834 and 52852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52834 and 52852.

How to find the GCF of 52834 and 52852?

We will first find the prime factorization of 52834 and 52852. After we will calculate the factors of 52834 and 52852 and find the biggest common factor number .

Step-1: Prime Factorization of 52834

Prime factors of 52834 are 2, 26417. Prime factorization of 52834 in exponential form is:

52834 = 2¹ × 26417¹

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 52834

List of positive integer factors of 52834 that divides 52834 without a remainder.

1, 2, 26417

Step-4: Factors of 52852

List of positive integer factors of 52852 that divides 52834 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 52834 and 52852. The biggest common factor number is the GCF number.
So the greatest common factor 52834 and 52852 is 2.

Also check out the Least Common Multiple of 52834 and 52852