What is the Greatest Common Factor of 97913 and 97929?

Greatest common factor (GCF) of 97913 and 97929 is 1.

GCF(97913,97929) = 1

We will now calculate the prime factors of 97913 and 97929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97913 and 97929.

How to find the GCF of 97913 and 97929?

We will first find the prime factorization of 97913 and 97929. After we will calculate the factors of 97913 and 97929 and find the biggest common factor number .

Step-1: Prime Factorization of 97913

Prime factors of 97913 are 179, 547. Prime factorization of 97913 in exponential form is:

97913 = 179¹ × 547¹

Step-2: Prime Factorization of 97929

Prime factors of 97929 are 3, 13, 31. Prime factorization of 97929 in exponential form is:

97929 = 3⁵ × 13¹ × 31¹

Step-3: Factors of 97913

List of positive integer factors of 97913 that divides 97913 without a remainder.

1, 179, 547

Step-4: Factors of 97929

List of positive integer factors of 97929 that divides 97913 without a remainder.

1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 243, 279, 351, 403, 837, 1053, 1209, 2511, 3159, 3627, 7533, 10881, 32643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97913 and 97929. The biggest common factor number is the GCF number.
So the greatest common factor 97913 and 97929 is 1.

Also check out the Least Common Multiple of 97913 and 97929