What is the Greatest Common Factor of 57232 and 57242?

Greatest common factor (GCF) of 57232 and 57242 is 2.

GCF(57232,57242) = 2

We will now calculate the prime factors of 57232 and 57242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57232 and 57242.

How to find the GCF of 57232 and 57242?

We will first find the prime factorization of 57232 and 57242. After we will calculate the factors of 57232 and 57242 and find the biggest common factor number .

Step-1: Prime Factorization of 57232

Prime factors of 57232 are 2, 7, 73. Prime factorization of 57232 in exponential form is:

57232 = 2⁴ × 7² × 73¹

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 57232

List of positive integer factors of 57232 that divides 57232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 73, 98, 112, 146, 196, 292, 392, 511, 584, 784, 1022, 1168, 2044, 3577, 4088, 7154, 8176, 14308, 28616

Step-4: Factors of 57242

List of positive integer factors of 57242 that divides 57232 without a remainder.

1, 2, 28621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57232 and 57242. The biggest common factor number is the GCF number.
So the greatest common factor 57232 and 57242 is 2.

Also check out the Least Common Multiple of 57232 and 57242