What is the Greatest Common Factor of 39991 and 39997?

Greatest common factor (GCF) of 39991 and 39997 is 1.

GCF(39991,39997) = 1

We will now calculate the prime factors of 39991 and 39997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39991 and 39997.

How to find the GCF of 39991 and 39997?

We will first find the prime factorization of 39991 and 39997. After we will calculate the factors of 39991 and 39997 and find the biggest common factor number .

Step-1: Prime Factorization of 39991

Prime factors of 39991 are 7, 29, 197. Prime factorization of 39991 in exponential form is:

39991 = 7¹ × 29¹ × 197¹

Step-2: Prime Factorization of 39997

Prime factors of 39997 are 23, 37, 47. Prime factorization of 39997 in exponential form is:

39997 = 23¹ × 37¹ × 47¹

Step-3: Factors of 39991

List of positive integer factors of 39991 that divides 39991 without a remainder.

1, 7, 29, 197, 203, 1379, 5713

Step-4: Factors of 39997

List of positive integer factors of 39997 that divides 39991 without a remainder.

1, 23, 37, 47, 851, 1081, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39991 and 39997. The biggest common factor number is the GCF number.
So the greatest common factor 39991 and 39997 is 1.

Also check out the Least Common Multiple of 39991 and 39997