What is the Greatest Common Factor of 53846 and 53852?

Greatest common factor (GCF) of 53846 and 53852 is 2.

GCF(53846,53852) = 2

We will now calculate the prime factors of 53846 and 53852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53846 and 53852.

How to find the GCF of 53846 and 53852?

We will first find the prime factorization of 53846 and 53852. After we will calculate the factors of 53846 and 53852 and find the biggest common factor number .

Step-1: Prime Factorization of 53846

Prime factors of 53846 are 2, 13, 19, 109. Prime factorization of 53846 in exponential form is:

53846 = 2¹ × 13¹ × 19¹ × 109¹

Step-2: Prime Factorization of 53852

Prime factors of 53852 are 2, 13463. Prime factorization of 53852 in exponential form is:

53852 = 2² × 13463¹

Step-3: Factors of 53846

List of positive integer factors of 53846 that divides 53846 without a remainder.

1, 2, 13, 19, 26, 38, 109, 218, 247, 494, 1417, 2071, 2834, 4142, 26923

Step-4: Factors of 53852

List of positive integer factors of 53852 that divides 53846 without a remainder.

1, 2, 4, 13463, 26926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53846 and 53852. The biggest common factor number is the GCF number.
So the greatest common factor 53846 and 53852 is 2.

Also check out the Least Common Multiple of 53846 and 53852