What is the Greatest Common Factor of 74080 and 74087?

Greatest common factor (GCF) of 74080 and 74087 is 1.

GCF(74080,74087) = 1

We will now calculate the prime factors of 74080 and 74087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74080 and 74087.

How to find the GCF of 74080 and 74087?

We will first find the prime factorization of 74080 and 74087. After we will calculate the factors of 74080 and 74087 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 74087

Prime factors of 74087 are 13, 41, 139. Prime factorization of 74087 in exponential form is:

74087 = 13¹ × 41¹ × 139¹

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 74087

List of positive integer factors of 74087 that divides 74080 without a remainder.

1, 13, 41, 139, 533, 1807, 5699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74080 and 74087. The biggest common factor number is the GCF number.
So the greatest common factor 74080 and 74087 is 1.

Also check out the Least Common Multiple of 74080 and 74087