What is the Greatest Common Factor of 97797 and 97803?

Greatest common factor (GCF) of 97797 and 97803 is 3.

GCF(97797,97803) = 3

We will now calculate the prime factors of 97797 and 97803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97797 and 97803.

How to find the GCF of 97797 and 97803?

We will first find the prime factorization of 97797 and 97803. After we will calculate the factors of 97797 and 97803 and find the biggest common factor number .

Step-1: Prime Factorization of 97797

Prime factors of 97797 are 3, 7, 4657. Prime factorization of 97797 in exponential form is:

97797 = 3¹ × 7¹ × 4657¹

Step-2: Prime Factorization of 97803

Prime factors of 97803 are 3, 10867. Prime factorization of 97803 in exponential form is:

97803 = 3² × 10867¹

Step-3: Factors of 97797

List of positive integer factors of 97797 that divides 97797 without a remainder.

1, 3, 7, 21, 4657, 13971, 32599

Step-4: Factors of 97803

List of positive integer factors of 97803 that divides 97797 without a remainder.

1, 3, 9, 10867, 32601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97797 and 97803. The biggest common factor number is the GCF number.
So the greatest common factor 97797 and 97803 is 3.

Also check out the Least Common Multiple of 97797 and 97803