What is the Greatest Common Factor of 97109 and 97114?

Greatest common factor (GCF) of 97109 and 97114 is 1.

GCF(97109,97114) = 1

We will now calculate the prime factors of 97109 and 97114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97109 and 97114.

How to find the GCF of 97109 and 97114?

We will first find the prime factorization of 97109 and 97114. After we will calculate the factors of 97109 and 97114 and find the biggest common factor number .

Step-1: Prime Factorization of 97109

Prime factors of 97109 are 19, 269. Prime factorization of 97109 in exponential form is:

97109 = 19² × 269¹

Step-2: Prime Factorization of 97114

Prime factors of 97114 are 2, 59, 823. Prime factorization of 97114 in exponential form is:

97114 = 2¹ × 59¹ × 823¹

Step-3: Factors of 97109

List of positive integer factors of 97109 that divides 97109 without a remainder.

1, 19, 269, 361, 5111

Step-4: Factors of 97114

List of positive integer factors of 97114 that divides 97109 without a remainder.

1, 2, 59, 118, 823, 1646, 48557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97109 and 97114. The biggest common factor number is the GCF number.
So the greatest common factor 97109 and 97114 is 1.

Also check out the Least Common Multiple of 97109 and 97114