What is the Greatest Common Factor of 97024 and 97040?

Greatest common factor (GCF) of 97024 and 97040 is 16.

GCF(97024,97040) = 16

We will now calculate the prime factors of 97024 and 97040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97024 and 97040.

How to find the GCF of 97024 and 97040?

We will first find the prime factorization of 97024 and 97040. After we will calculate the factors of 97024 and 97040 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 97040

Prime factors of 97040 are 2, 5, 1213. Prime factorization of 97040 in exponential form is:

97040 = 2⁴ × 5¹ × 1213¹

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 97040

List of positive integer factors of 97040 that divides 97024 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1213, 2426, 4852, 6065, 9704, 12130, 19408, 24260, 48520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97024 and 97040. The biggest common factor number is the GCF number.
So the greatest common factor 97024 and 97040 is 16.

Also check out the Least Common Multiple of 97024 and 97040