What is the Greatest Common Factor of 97814 and 97821?

Greatest common factor (GCF) of 97814 and 97821 is 1.

GCF(97814,97821) = 1

We will now calculate the prime factors of 97814 and 97821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97814 and 97821.

How to find the GCF of 97814 and 97821?

We will first find the prime factorization of 97814 and 97821. After we will calculate the factors of 97814 and 97821 and find the biggest common factor number .

Step-1: Prime Factorization of 97814

Prime factors of 97814 are 2, 48907. Prime factorization of 97814 in exponential form is:

97814 = 2¹ × 48907¹

Step-2: Prime Factorization of 97821

Prime factors of 97821 are 3, 3623. Prime factorization of 97821 in exponential form is:

97821 = 3³ × 3623¹

Step-3: Factors of 97814

List of positive integer factors of 97814 that divides 97814 without a remainder.

1, 2, 48907

Step-4: Factors of 97821

List of positive integer factors of 97821 that divides 97814 without a remainder.

1, 3, 9, 27, 3623, 10869, 32607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97814 and 97821. The biggest common factor number is the GCF number.
So the greatest common factor 97814 and 97821 is 1.

Also check out the Least Common Multiple of 97814 and 97821