What is the Greatest Common Factor of 97035 and 97040?

Greatest common factor (GCF) of 97035 and 97040 is 5.

GCF(97035,97040) = 5

We will now calculate the prime factors of 97035 and 97040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97035 and 97040.

How to find the GCF of 97035 and 97040?

We will first find the prime factorization of 97035 and 97040. After we will calculate the factors of 97035 and 97040 and find the biggest common factor number .

Step-1: Prime Factorization of 97035

Prime factors of 97035 are 3, 5, 6469. Prime factorization of 97035 in exponential form is:

97035 = 3¹ × 5¹ × 6469¹

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 97035

List of positive integer factors of 97035 that divides 97035 without a remainder.

1, 3, 5, 15, 6469, 19407, 32345

Step-4: Factors of 97040

List of positive integer factors of 97040 that divides 97035 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 97035 and 97040. The biggest common factor number is the GCF number.
So the greatest common factor 97035 and 97040 is 5.

Also check out the Least Common Multiple of 97035 and 97040