What is the Greatest Common Factor of 37996 and 38009?

Greatest common factor (GCF) of 37996 and 38009 is 1.

GCF(37996,38009) = 1

We will now calculate the prime factors of 37996 and 38009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37996 and 38009.

How to find the GCF of 37996 and 38009?

We will first find the prime factorization of 37996 and 38009. After we will calculate the factors of 37996 and 38009 and find the biggest common factor number .

Step-1: Prime Factorization of 37996

Prime factors of 37996 are 2, 7, 23, 59. Prime factorization of 37996 in exponential form is:

37996 = 2² × 7¹ × 23¹ × 59¹

Step-2: Prime Factorization of 38009

Prime factors of 38009 are 191, 199. Prime factorization of 38009 in exponential form is:

38009 = 191¹ × 199¹

Step-3: Factors of 37996

List of positive integer factors of 37996 that divides 37996 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 59, 92, 118, 161, 236, 322, 413, 644, 826, 1357, 1652, 2714, 5428, 9499, 18998

Step-4: Factors of 38009

List of positive integer factors of 38009 that divides 37996 without a remainder.

1, 191, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37996 and 38009. The biggest common factor number is the GCF number.
So the greatest common factor 37996 and 38009 is 1.

Also check out the Least Common Multiple of 37996 and 38009