What is the Greatest Common Factor of 97994 and 98009?

Greatest common factor (GCF) of 97994 and 98009 is 1.

GCF(97994,98009) = 1

We will now calculate the prime factors of 97994 and 98009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97994 and 98009.

How to find the GCF of 97994 and 98009?

We will first find the prime factorization of 97994 and 98009. After we will calculate the factors of 97994 and 98009 and find the biggest common factor number .

Step-1: Prime Factorization of 97994

Prime factors of 97994 are 2, 13, 3769. Prime factorization of 97994 in exponential form is:

97994 = 2¹ × 13¹ × 3769¹

Step-2: Prime Factorization of 98009

Prime factors of 98009 are 98009. Prime factorization of 98009 in exponential form is:

98009 = 98009¹

Step-3: Factors of 97994

List of positive integer factors of 97994 that divides 97994 without a remainder.

1, 2, 13, 26, 3769, 7538, 48997

Step-4: Factors of 98009

List of positive integer factors of 98009 that divides 97994 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97994 and 98009. The biggest common factor number is the GCF number.
So the greatest common factor 97994 and 98009 is 1.

Also check out the Least Common Multiple of 97994 and 98009