What is the Greatest Common Factor of 97874 and 97885?

Greatest common factor (GCF) of 97874 and 97885 is 1.

GCF(97874,97885) = 1

We will now calculate the prime factors of 97874 and 97885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97874 and 97885.

How to find the GCF of 97874 and 97885?

We will first find the prime factorization of 97874 and 97885. After we will calculate the factors of 97874 and 97885 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 97885

Prime factors of 97885 are 5, 19577. Prime factorization of 97885 in exponential form is:

97885 = 5¹ × 19577¹

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 97885

List of positive integer factors of 97885 that divides 97874 without a remainder.

1, 5, 19577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97874 and 97885. The biggest common factor number is the GCF number.
So the greatest common factor 97874 and 97885 is 1.

Also check out the Least Common Multiple of 97874 and 97885