What is the Greatest Common Factor of 51838 and 51852?

Greatest common factor (GCF) of 51838 and 51852 is 2.

GCF(51838,51852) = 2

We will now calculate the prime factors of 51838 and 51852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51838 and 51852.

How to find the GCF of 51838 and 51852?

We will first find the prime factorization of 51838 and 51852. After we will calculate the factors of 51838 and 51852 and find the biggest common factor number .

Step-1: Prime Factorization of 51838

Prime factors of 51838 are 2, 25919. Prime factorization of 51838 in exponential form is:

51838 = 2¹ × 25919¹

Step-2: Prime Factorization of 51852

Prime factors of 51852 are 2, 3, 29, 149. Prime factorization of 51852 in exponential form is:

51852 = 2² × 3¹ × 29¹ × 149¹

Step-3: Factors of 51838

List of positive integer factors of 51838 that divides 51838 without a remainder.

1, 2, 25919

Step-4: Factors of 51852

List of positive integer factors of 51852 that divides 51838 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 149, 174, 298, 348, 447, 596, 894, 1788, 4321, 8642, 12963, 17284, 25926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51838 and 51852. The biggest common factor number is the GCF number.
So the greatest common factor 51838 and 51852 is 2.

Also check out the Least Common Multiple of 51838 and 51852