What is the Greatest Common Factor of 74080 and 74096?

Greatest common factor (GCF) of 74080 and 74096 is 16.

GCF(74080,74096) = 16

We will now calculate the prime factors of 74080 and 74096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74080 and 74096.

How to find the GCF of 74080 and 74096?

We will first find the prime factorization of 74080 and 74096. After we will calculate the factors of 74080 and 74096 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 74096

Prime factors of 74096 are 2, 11, 421. Prime factorization of 74096 in exponential form is:

74096 = 2⁴ × 11¹ × 421¹

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 74096

List of positive integer factors of 74096 that divides 74080 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 421, 842, 1684, 3368, 4631, 6736, 9262, 18524, 37048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74080 and 74096. The biggest common factor number is the GCF number.
So the greatest common factor 74080 and 74096 is 16.

Also check out the Least Common Multiple of 74080 and 74096