What is the Greatest Common Factor of 74080 and 74085?

Greatest common factor (GCF) of 74080 and 74085 is 5.

GCF(74080,74085) = 5

We will now calculate the prime factors of 74080 and 74085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74080 and 74085.

How to find the GCF of 74080 and 74085?

We will first find the prime factorization of 74080 and 74085. After we will calculate the factors of 74080 and 74085 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 74085

Prime factors of 74085 are 3, 5, 11, 449. Prime factorization of 74085 in exponential form is:

74085 = 3¹ × 5¹ × 11¹ × 449¹

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 74085

List of positive integer factors of 74085 that divides 74080 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 449, 1347, 2245, 4939, 6735, 14817, 24695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74080 and 74085. The biggest common factor number is the GCF number.
So the greatest common factor 74080 and 74085 is 5.

Also check out the Least Common Multiple of 74080 and 74085