What is the Greatest Common Factor of 57836 and 57855?

Greatest common factor (GCF) of 57836 and 57855 is 19.

GCF(57836,57855) = 19

We will now calculate the prime factors of 57836 and 57855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57836 and 57855.

How to find the GCF of 57836 and 57855?

We will first find the prime factorization of 57836 and 57855. After we will calculate the factors of 57836 and 57855 and find the biggest common factor number .

Step-1: Prime Factorization of 57836

Prime factors of 57836 are 2, 19, 761. Prime factorization of 57836 in exponential form is:

57836 = 2² × 19¹ × 761¹

Step-2: Prime Factorization of 57855

Prime factors of 57855 are 3, 5, 7, 19, 29. Prime factorization of 57855 in exponential form is:

57855 = 3¹ × 5¹ × 7¹ × 19¹ × 29¹

Step-3: Factors of 57836

List of positive integer factors of 57836 that divides 57836 without a remainder.

1, 2, 4, 19, 38, 76, 761, 1522, 3044, 14459, 28918

Step-4: Factors of 57855

List of positive integer factors of 57855 that divides 57836 without a remainder.

1, 3, 5, 7, 15, 19, 21, 29, 35, 57, 87, 95, 105, 133, 145, 203, 285, 399, 435, 551, 609, 665, 1015, 1653, 1995, 2755, 3045, 3857, 8265, 11571, 19285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57836 and 57855. The biggest common factor number is the GCF number.
So the greatest common factor 57836 and 57855 is 19.

Also check out the Least Common Multiple of 57836 and 57855