What is the Greatest Common Factor of 37382 and 37396?

Greatest common factor (GCF) of 37382 and 37396 is 2.

GCF(37382,37396) = 2

We will now calculate the prime factors of 37382 and 37396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37382 and 37396.

How to find the GCF of 37382 and 37396?

We will first find the prime factorization of 37382 and 37396. After we will calculate the factors of 37382 and 37396 and find the biggest common factor number .

Step-1: Prime Factorization of 37382

Prime factors of 37382 are 2, 18691. Prime factorization of 37382 in exponential form is:

37382 = 2¹ × 18691¹

Step-2: Prime Factorization of 37396

Prime factors of 37396 are 2, 9349. Prime factorization of 37396 in exponential form is:

37396 = 2² × 9349¹

Step-3: Factors of 37382

List of positive integer factors of 37382 that divides 37382 without a remainder.

1, 2, 18691

Step-4: Factors of 37396

List of positive integer factors of 37396 that divides 37382 without a remainder.

1, 2, 4, 9349, 18698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37382 and 37396. The biggest common factor number is the GCF number.
So the greatest common factor 37382 and 37396 is 2.

Also check out the Least Common Multiple of 37382 and 37396