What is the Greatest Common Factor of 74080 and 74097?

Greatest common factor (GCF) of 74080 and 74097 is 1.

GCF(74080,74097) = 1

We will now calculate the prime factors of 74080 and 74097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74080 and 74097.

How to find the GCF of 74080 and 74097?

We will first find the prime factorization of 74080 and 74097. After we will calculate the factors of 74080 and 74097 and find the biggest common factor number .

Step-1: Prime Factorization of 74080

Prime factors of 74080 are 2, 5, 463. Prime factorization of 74080 in exponential form is:

74080 = 2⁵ × 5¹ × 463¹

Step-2: Prime Factorization of 74097

Prime factors of 74097 are 3, 8233. Prime factorization of 74097 in exponential form is:

74097 = 3² × 8233¹

Step-3: Factors of 74080

List of positive integer factors of 74080 that divides 74080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 463, 926, 1852, 2315, 3704, 4630, 7408, 9260, 14816, 18520, 37040

Step-4: Factors of 74097

List of positive integer factors of 74097 that divides 74080 without a remainder.

1, 3, 9, 8233, 24699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74080 and 74097. The biggest common factor number is the GCF number.
So the greatest common factor 74080 and 74097 is 1.

Also check out the Least Common Multiple of 74080 and 74097