What is the Greatest Common Factor of 97874 and 97879?

Greatest common factor (GCF) of 97874 and 97879 is 1.

GCF(97874,97879) = 1

We will now calculate the prime factors of 97874 and 97879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97874 and 97879.

How to find the GCF of 97874 and 97879?

We will first find the prime factorization of 97874 and 97879. After we will calculate the factors of 97874 and 97879 and find the biggest common factor number .

Step-1: Prime Factorization of 97874

Prime factors of 97874 are 2, 7, 6991. Prime factorization of 97874 in exponential form is:

97874 = 2¹ × 7¹ × 6991¹

Step-2: Prime Factorization of 97879

Prime factors of 97879 are 97879. Prime factorization of 97879 in exponential form is:

97879 = 97879¹

Step-3: Factors of 97874

List of positive integer factors of 97874 that divides 97874 without a remainder.

1, 2, 7, 14, 6991, 13982, 48937

Step-4: Factors of 97879

List of positive integer factors of 97879 that divides 97874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97874 and 97879. The biggest common factor number is the GCF number.
So the greatest common factor 97874 and 97879 is 1.

Also check out the Least Common Multiple of 97874 and 97879