What is the Greatest Common Factor of 97749 and 97764?

Greatest common factor (GCF) of 97749 and 97764 is 3.

GCF(97749,97764) = 3

We will now calculate the prime factors of 97749 and 97764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97749 and 97764.

How to find the GCF of 97749 and 97764?

We will first find the prime factorization of 97749 and 97764. After we will calculate the factors of 97749 and 97764 and find the biggest common factor number .

Step-1: Prime Factorization of 97749

Prime factors of 97749 are 3, 10861. Prime factorization of 97749 in exponential form is:

97749 = 3² × 10861¹

Step-2: Prime Factorization of 97764

Prime factors of 97764 are 2, 3, 8147. Prime factorization of 97764 in exponential form is:

97764 = 2² × 3¹ × 8147¹

Step-3: Factors of 97749

List of positive integer factors of 97749 that divides 97749 without a remainder.

1, 3, 9, 10861, 32583

Step-4: Factors of 97764

List of positive integer factors of 97764 that divides 97749 without a remainder.

1, 2, 3, 4, 6, 12, 8147, 16294, 24441, 32588, 48882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97749 and 97764. The biggest common factor number is the GCF number.
So the greatest common factor 97749 and 97764 is 3.

Also check out the Least Common Multiple of 97749 and 97764