What is the Greatest Common Factor of 97909 and 97926?

Greatest common factor (GCF) of 97909 and 97926 is 1.

GCF(97909,97926) = 1

We will now calculate the prime factors of 97909 and 97926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97909 and 97926.

How to find the GCF of 97909 and 97926?

We will first find the prime factorization of 97909 and 97926. After we will calculate the factors of 97909 and 97926 and find the biggest common factor number .

Step-1: Prime Factorization of 97909

Prime factors of 97909 are 7, 71, 197. Prime factorization of 97909 in exponential form is:

97909 = 7¹ × 71¹ × 197¹

Step-2: Prime Factorization of 97926

Prime factors of 97926 are 2, 3, 19, 859. Prime factorization of 97926 in exponential form is:

97926 = 2¹ × 3¹ × 19¹ × 859¹

Step-3: Factors of 97909

List of positive integer factors of 97909 that divides 97909 without a remainder.

1, 7, 71, 197, 497, 1379, 13987

Step-4: Factors of 97926

List of positive integer factors of 97926 that divides 97909 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 859, 1718, 2577, 5154, 16321, 32642, 48963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97909 and 97926. The biggest common factor number is the GCF number.
So the greatest common factor 97909 and 97926 is 1.

Also check out the Least Common Multiple of 97909 and 97926