What is the Greatest Common Factor of 97102 and 97109?

Greatest common factor (GCF) of 97102 and 97109 is 1.

GCF(97102,97109) = 1

We will now calculate the prime factors of 97102 and 97109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97102 and 97109.

How to find the GCF of 97102 and 97109?

We will first find the prime factorization of 97102 and 97109. After we will calculate the factors of 97102 and 97109 and find the biggest common factor number .

Step-1: Prime Factorization of 97102

Prime factors of 97102 are 2, 47, 1033. Prime factorization of 97102 in exponential form is:

97102 = 2¹ × 47¹ × 1033¹

Step-2: Prime Factorization of 97109

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

97109 = 19² × 269¹

Step-3: Factors of 97102

List of positive integer factors of 97102 that divides 97102 without a remainder.

1, 2, 47, 94, 1033, 2066, 48551

Step-4: Factors of 97109

List of positive integer factors of 97109 that divides 97102 without a remainder.

1, 19, 269, 361, 5111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97102 and 97109. The biggest common factor number is the GCF number.
So the greatest common factor 97102 and 97109 is 1.

Also check out the Least Common Multiple of 97102 and 97109