What is the Greatest Common Factor of 37420 and 37438?

Greatest common factor (GCF) of 37420 and 37438 is 2.

GCF(37420,37438) = 2

We will now calculate the prime factors of 37420 and 37438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37420 and 37438.

How to find the GCF of 37420 and 37438?

We will first find the prime factorization of 37420 and 37438. After we will calculate the factors of 37420 and 37438 and find the biggest common factor number .

Step-1: Prime Factorization of 37420

Prime factors of 37420 are 2, 5, 1871. Prime factorization of 37420 in exponential form is:

37420 = 2² × 5¹ × 1871¹

Step-2: Prime Factorization of 37438

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

37438 = 2¹ × 18719¹

Step-3: Factors of 37420

List of positive integer factors of 37420 that divides 37420 without a remainder.

1, 2, 4, 5, 10, 20, 1871, 3742, 7484, 9355, 18710

Step-4: Factors of 37438

List of positive integer factors of 37438 that divides 37420 without a remainder.

1, 2, 18719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37420 and 37438. The biggest common factor number is the GCF number.
So the greatest common factor 37420 and 37438 is 2.

Also check out the Least Common Multiple of 37420 and 37438