What is the Greatest Common Factor of 37438 and 37442?

Greatest common factor (GCF) of 37438 and 37442 is 2.

GCF(37438,37442) = 2

We will now calculate the prime factors of 37438 and 37442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37438 and 37442.

How to find the GCF of 37438 and 37442?

We will first find the prime factorization of 37438 and 37442. After we will calculate the factors of 37438 and 37442 and find the biggest common factor number .

Step-1: Prime Factorization of 37438

Prime factors of 37438 are 2, 18719. Prime factorization of 37438 in exponential form is:

37438 = 2¹ × 18719¹

Step-2: Prime Factorization of 37442

Prime factors of 37442 are 2, 97, 193. Prime factorization of 37442 in exponential form is:

37442 = 2¹ × 97¹ × 193¹

Step-3: Factors of 37438

List of positive integer factors of 37438 that divides 37438 without a remainder.

1, 2, 18719

Step-4: Factors of 37442

List of positive integer factors of 37442 that divides 37438 without a remainder.

1, 2, 97, 193, 194, 386, 18721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37438 and 37442. The biggest common factor number is the GCF number.
So the greatest common factor 37438 and 37442 is 2.

Also check out the Least Common Multiple of 37438 and 37442