What is the Greatest Common Factor of 57841 and 57848?

Greatest common factor (GCF) of 57841 and 57848 is 7.

GCF(57841,57848) = 7

We will now calculate the prime factors of 57841 and 57848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57841 and 57848.

How to find the GCF of 57841 and 57848?

We will first find the prime factorization of 57841 and 57848. After we will calculate the factors of 57841 and 57848 and find the biggest common factor number .

Step-1: Prime Factorization of 57841

Prime factors of 57841 are 7, 8263. Prime factorization of 57841 in exponential form is:

57841 = 7¹ × 8263¹

Step-2: Prime Factorization of 57848

Prime factors of 57848 are 2, 7, 1033. Prime factorization of 57848 in exponential form is:

57848 = 2³ × 7¹ × 1033¹

Step-3: Factors of 57841

List of positive integer factors of 57841 that divides 57841 without a remainder.

1, 7, 8263

Step-4: Factors of 57848

List of positive integer factors of 57848 that divides 57841 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1033, 2066, 4132, 7231, 8264, 14462, 28924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57841 and 57848. The biggest common factor number is the GCF number.
So the greatest common factor 57841 and 57848 is 7.

Also check out the Least Common Multiple of 57841 and 57848