What is the Greatest Common Factor of 37242 and 37258?

Greatest common factor (GCF) of 37242 and 37258 is 2.

GCF(37242,37258) = 2

We will now calculate the prime factors of 37242 and 37258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37242 and 37258.

How to find the GCF of 37242 and 37258?

We will first find the prime factorization of 37242 and 37258. After we will calculate the factors of 37242 and 37258 and find the biggest common factor number .

Step-1: Prime Factorization of 37242

Prime factors of 37242 are 2, 3, 2069. Prime factorization of 37242 in exponential form is:

37242 = 2¹ × 3² × 2069¹

Step-2: Prime Factorization of 37258

Prime factors of 37258 are 2, 13, 1433. Prime factorization of 37258 in exponential form is:

37258 = 2¹ × 13¹ × 1433¹

Step-3: Factors of 37242

List of positive integer factors of 37242 that divides 37242 without a remainder.

1, 2, 3, 6, 9, 18, 2069, 4138, 6207, 12414, 18621

Step-4: Factors of 37258

List of positive integer factors of 37258 that divides 37242 without a remainder.

1, 2, 13, 26, 1433, 2866, 18629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37242 and 37258. The biggest common factor number is the GCF number.
So the greatest common factor 37242 and 37258 is 2.

Also check out the Least Common Multiple of 37242 and 37258