What is the Greatest Common Factor of 74075 and 74080?

Greatest common factor (GCF) of 74075 and 74080 is 5.

GCF(74075,74080) = 5

We will now calculate the prime factors of 74075 and 74080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74075 and 74080.

How to find the GCF of 74075 and 74080?

We will first find the prime factorization of 74075 and 74080. After we will calculate the factors of 74075 and 74080 and find the biggest common factor number .

Step-1: Prime Factorization of 74075

Prime factors of 74075 are 5, 2963. Prime factorization of 74075 in exponential form is:

74075 = 5² × 2963¹

Step-2: 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-3: Factors of 74075

List of positive integer factors of 74075 that divides 74075 without a remainder.

1, 5, 25, 2963, 14815

Step-4: Factors of 74080

List of positive integer factors of 74080 that divides 74075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74075 and 74080. The biggest common factor number is the GCF number.
So the greatest common factor 74075 and 74080 is 5.

Also check out the Least Common Multiple of 74075 and 74080