What is the Greatest Common Factor of 57224 and 57242?

Greatest common factor (GCF) of 57224 and 57242 is 2.

GCF(57224,57242) = 2

We will now calculate the prime factors of 57224 and 57242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57224 and 57242.

How to find the GCF of 57224 and 57242?

We will first find the prime factorization of 57224 and 57242. After we will calculate the factors of 57224 and 57242 and find the biggest common factor number .

Step-1: Prime Factorization of 57224

Prime factors of 57224 are 2, 23, 311. Prime factorization of 57224 in exponential form is:

57224 = 2³ × 23¹ × 311¹

Step-2: Prime Factorization of 57242

Prime factors of 57242 are 2, 28621. Prime factorization of 57242 in exponential form is:

57242 = 2¹ × 28621¹

Step-3: Factors of 57224

List of positive integer factors of 57224 that divides 57224 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 311, 622, 1244, 2488, 7153, 14306, 28612

Step-4: Factors of 57242

List of positive integer factors of 57242 that divides 57224 without a remainder.

1, 2, 28621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57224 and 57242. The biggest common factor number is the GCF number.
So the greatest common factor 57224 and 57242 is 2.

Also check out the Least Common Multiple of 57224 and 57242