What is the Greatest Common Factor of 97024 and 97038?

Greatest common factor (GCF) of 97024 and 97038 is 2.

GCF(97024,97038) = 2

We will now calculate the prime factors of 97024 and 97038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97024 and 97038.

How to find the GCF of 97024 and 97038?

We will first find the prime factorization of 97024 and 97038. After we will calculate the factors of 97024 and 97038 and find the biggest common factor number .

Step-1: Prime Factorization of 97024

Prime factors of 97024 are 2, 379. Prime factorization of 97024 in exponential form is:

97024 = 2⁸ × 379¹

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 97024

List of positive integer factors of 97024 that divides 97024 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 379, 758, 1516, 3032, 6064, 12128, 24256, 48512

Step-4: Factors of 97038

List of positive integer factors of 97038 that divides 97024 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 97024 and 97038. The biggest common factor number is the GCF number.
So the greatest common factor 97024 and 97038 is 2.

Also check out the Least Common Multiple of 97024 and 97038