What is the Greatest Common Factor of 58242 and 58252?

Greatest common factor (GCF) of 58242 and 58252 is 2.

GCF(58242,58252) = 2

We will now calculate the prime factors of 58242 and 58252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58242 and 58252.

How to find the GCF of 58242 and 58252?

We will first find the prime factorization of 58242 and 58252. After we will calculate the factors of 58242 and 58252 and find the biggest common factor number .

Step-1: Prime Factorization of 58242

Prime factors of 58242 are 2, 3, 17, 571. Prime factorization of 58242 in exponential form is:

58242 = 2¹ × 3¹ × 17¹ × 571¹

Step-2: Prime Factorization of 58252

Prime factors of 58252 are 2, 14563. Prime factorization of 58252 in exponential form is:

58252 = 2² × 14563¹

Step-3: Factors of 58242

List of positive integer factors of 58242 that divides 58242 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 571, 1142, 1713, 3426, 9707, 19414, 29121

Step-4: Factors of 58252

List of positive integer factors of 58252 that divides 58242 without a remainder.

1, 2, 4, 14563, 29126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58242 and 58252. The biggest common factor number is the GCF number.
So the greatest common factor 58242 and 58252 is 2.

Also check out the Least Common Multiple of 58242 and 58252