What is the Greatest Common Factor of 9971 and 9977?

Greatest common factor (GCF) of 9971 and 9977 is 1.

GCF(9971,9977) = 1

We will now calculate the prime factors of 9971 and 9977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9971 and 9977.

How to find the GCF of 9971 and 9977?

We will first find the prime factorization of 9971 and 9977. After we will calculate the factors of 9971 and 9977 and find the biggest common factor number .

Step-1: Prime Factorization of 9971

Prime factors of 9971 are 13, 59. Prime factorization of 9971 in exponential form is:

9971 = 13² × 59¹

Step-2: Prime Factorization of 9977

Prime factors of 9977 are 11, 907. Prime factorization of 9977 in exponential form is:

9977 = 11¹ × 907¹

Step-3: Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1, 13, 59, 169, 767

Step-4: Factors of 9977

List of positive integer factors of 9977 that divides 9971 without a remainder.

1, 11, 907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9971 and 9977. The biggest common factor number is the GCF number.
So the greatest common factor 9971 and 9977 is 1.

Also check out the Least Common Multiple of 9971 and 9977