What is the Greatest Common Factor of 37828 and 37834?

Greatest common factor (GCF) of 37828 and 37834 is 2.

GCF(37828,37834) = 2

We will now calculate the prime factors of 37828 and 37834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37828 and 37834.

How to find the GCF of 37828 and 37834?

We will first find the prime factorization of 37828 and 37834. After we will calculate the factors of 37828 and 37834 and find the biggest common factor number .

Step-1: Prime Factorization of 37828

Prime factors of 37828 are 2, 7, 193. Prime factorization of 37828 in exponential form is:

37828 = 2² × 7² × 193¹

Step-2: Prime Factorization of 37834

Prime factors of 37834 are 2, 18917. Prime factorization of 37834 in exponential form is:

37834 = 2¹ × 18917¹

Step-3: Factors of 37828

List of positive integer factors of 37828 that divides 37828 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 193, 196, 386, 772, 1351, 2702, 5404, 9457, 18914

Step-4: Factors of 37834

List of positive integer factors of 37834 that divides 37828 without a remainder.

1, 2, 18917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37828 and 37834. The biggest common factor number is the GCF number.
So the greatest common factor 37828 and 37834 is 2.

Also check out the Least Common Multiple of 37828 and 37834