What is the Greatest Common Factor of 97029 and 97038?

Greatest common factor (GCF) of 97029 and 97038 is 9.

GCF(97029,97038) = 9

We will now calculate the prime factors of 97029 and 97038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97029 and 97038.

How to find the GCF of 97029 and 97038?

We will first find the prime factorization of 97029 and 97038. After we will calculate the factors of 97029 and 97038 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 97038

Prime factors of 97038 are 2, 3, 599. Prime factorization of 97038 in exponential form is:

97038 = 2¹ × 3⁴ × 599¹

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 97038

List of positive integer factors of 97038 that divides 97029 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 599, 1198, 1797, 3594, 5391, 10782, 16173, 32346, 48519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97029 and 97038. The biggest common factor number is the GCF number.
So the greatest common factor 97029 and 97038 is 9.

Also check out the Least Common Multiple of 97029 and 97038