What is the Greatest Common Factor of 97982 and 97991?

Greatest common factor (GCF) of 97982 and 97991 is 1.

GCF(97982,97991) = 1

We will now calculate the prime factors of 97982 and 97991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97982 and 97991.

How to find the GCF of 97982 and 97991?

We will first find the prime factorization of 97982 and 97991. After we will calculate the factors of 97982 and 97991 and find the biggest common factor number .

Step-1: Prime Factorization of 97982

Prime factors of 97982 are 2, 48991. Prime factorization of 97982 in exponential form is:

97982 = 2¹ × 48991¹

Step-2: Prime Factorization of 97991

Prime factors of 97991 are 29, 31, 109. Prime factorization of 97991 in exponential form is:

97991 = 29¹ × 31¹ × 109¹

Step-3: Factors of 97982

List of positive integer factors of 97982 that divides 97982 without a remainder.

1, 2, 48991

Step-4: Factors of 97991

List of positive integer factors of 97991 that divides 97982 without a remainder.

1, 29, 31, 109, 899, 3161, 3379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97982 and 97991. The biggest common factor number is the GCF number.
So the greatest common factor 97982 and 97991 is 1.

Also check out the Least Common Multiple of 97982 and 97991