What is the Greatest Common Factor of 97107 and 97114?

Greatest common factor (GCF) of 97107 and 97114 is 1.

GCF(97107,97114) = 1

We will now calculate the prime factors of 97107 and 97114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97107 and 97114.

How to find the GCF of 97107 and 97114?

We will first find the prime factorization of 97107 and 97114. After we will calculate the factors of 97107 and 97114 and find the biggest common factor number .

Step-1: Prime Factorization of 97107

Prime factors of 97107 are 3, 32369. Prime factorization of 97107 in exponential form is:

97107 = 3¹ × 32369¹

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 97107

List of positive integer factors of 97107 that divides 97107 without a remainder.

1, 3, 32369

Step-4: Factors of 97114

List of positive integer factors of 97114 that divides 97107 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97107 and 97114. The biggest common factor number is the GCF number.
So the greatest common factor 97107 and 97114 is 1.

Also check out the Least Common Multiple of 97107 and 97114