What is the Greatest Common Factor of 52836 and 52850?

Greatest common factor (GCF) of 52836 and 52850 is 14.

GCF(52836,52850) = 14

We will now calculate the prime factors of 52836 and 52850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52836 and 52850.

How to find the GCF of 52836 and 52850?

We will first find the prime factorization of 52836 and 52850. After we will calculate the factors of 52836 and 52850 and find the biggest common factor number .

Step-1: Prime Factorization of 52836

Prime factors of 52836 are 2, 3, 7, 17, 37. Prime factorization of 52836 in exponential form is:

52836 = 2² × 3¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 52850

Prime factors of 52850 are 2, 5, 7, 151. Prime factorization of 52850 in exponential form is:

52850 = 2¹ × 5² × 7¹ × 151¹

Step-3: Factors of 52836

List of positive integer factors of 52836 that divides 52836 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 37, 42, 51, 68, 74, 84, 102, 111, 119, 148, 204, 222, 238, 259, 357, 444, 476, 518, 629, 714, 777, 1036, 1258, 1428, 1554, 1887, 2516, 3108, 3774, 4403, 7548, 8806, 13209, 17612, 26418

Step-4: Factors of 52850

List of positive integer factors of 52850 that divides 52836 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 151, 175, 302, 350, 755, 1057, 1510, 2114, 3775, 5285, 7550, 10570, 26425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52836 and 52850. The biggest common factor number is the GCF number.
So the greatest common factor 52836 and 52850 is 14.

Also check out the Least Common Multiple of 52836 and 52850