What is the Greatest Common Factor of 51836 and 51850?

Greatest common factor (GCF) of 51836 and 51850 is 2.

GCF(51836,51850) = 2

We will now calculate the prime factors of 51836 and 51850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51836 and 51850.

How to find the GCF of 51836 and 51850?

We will first find the prime factorization of 51836 and 51850. After we will calculate the factors of 51836 and 51850 and find the biggest common factor number .

Step-1: Prime Factorization of 51836

Prime factors of 51836 are 2, 12959. Prime factorization of 51836 in exponential form is:

51836 = 2² × 12959¹

Step-2: Prime Factorization of 51850

Prime factors of 51850 are 2, 5, 17, 61. Prime factorization of 51850 in exponential form is:

51850 = 2¹ × 5² × 17¹ × 61¹

Step-3: Factors of 51836

List of positive integer factors of 51836 that divides 51836 without a remainder.

1, 2, 4, 12959, 25918

Step-4: Factors of 51850

List of positive integer factors of 51850 that divides 51836 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 61, 85, 122, 170, 305, 425, 610, 850, 1037, 1525, 2074, 3050, 5185, 10370, 25925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51836 and 51850. The biggest common factor number is the GCF number.
So the greatest common factor 51836 and 51850 is 2.

Also check out the Least Common Multiple of 51836 and 51850