What is the Greatest Common Factor of 97029 and 97044?

Greatest common factor (GCF) of 97029 and 97044 is 3.

GCF(97029,97044) = 3

We will now calculate the prime factors of 97029 and 97044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97029 and 97044.

How to find the GCF of 97029 and 97044?

We will first find the prime factorization of 97029 and 97044. After we will calculate the factors of 97029 and 97044 and find the biggest common factor number .

Step-1: Prime Factorization of 97029

Prime factors of 97029 are 3, 10781. Prime factorization of 97029 in exponential form is:

97029 = 3² × 10781¹

Step-2: Prime Factorization of 97044

Prime factors of 97044 are 2, 3, 8087. Prime factorization of 97044 in exponential form is:

97044 = 2² × 3¹ × 8087¹

Step-3: Factors of 97029

List of positive integer factors of 97029 that divides 97029 without a remainder.

1, 3, 9, 10781, 32343

Step-4: Factors of 97044

List of positive integer factors of 97044 that divides 97029 without a remainder.

1, 2, 3, 4, 6, 12, 8087, 16174, 24261, 32348, 48522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97029 and 97044. The biggest common factor number is the GCF number.
So the greatest common factor 97029 and 97044 is 3.

Also check out the Least Common Multiple of 97029 and 97044