What is the Greatest Common Factor of 57812 and 57824?

Greatest common factor (GCF) of 57812 and 57824 is 4.

GCF(57812,57824) = 4

We will now calculate the prime factors of 57812 and 57824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57812 and 57824.

How to find the GCF of 57812 and 57824?

We will first find the prime factorization of 57812 and 57824. After we will calculate the factors of 57812 and 57824 and find the biggest common factor number .

Step-1: Prime Factorization of 57812

Prime factors of 57812 are 2, 97, 149. Prime factorization of 57812 in exponential form is:

57812 = 2² × 97¹ × 149¹

Step-2: Prime Factorization of 57824

Prime factors of 57824 are 2, 13, 139. Prime factorization of 57824 in exponential form is:

57824 = 2⁵ × 13¹ × 139¹

Step-3: Factors of 57812

List of positive integer factors of 57812 that divides 57812 without a remainder.

1, 2, 4, 97, 149, 194, 298, 388, 596, 14453, 28906

Step-4: Factors of 57824

List of positive integer factors of 57824 that divides 57812 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 139, 208, 278, 416, 556, 1112, 1807, 2224, 3614, 4448, 7228, 14456, 28912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57812 and 57824. The biggest common factor number is the GCF number.
So the greatest common factor 57812 and 57824 is 4.

Also check out the Least Common Multiple of 57812 and 57824