What is the Greatest Common Factor of 32080 and 32096?

Greatest common factor (GCF) of 32080 and 32096 is 16.

GCF(32080,32096) = 16

We will now calculate the prime factors of 32080 and 32096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32080 and 32096.

How to find the GCF of 32080 and 32096?

We will first find the prime factorization of 32080 and 32096. After we will calculate the factors of 32080 and 32096 and find the biggest common factor number .

Step-1: Prime Factorization of 32080

Prime factors of 32080 are 2, 5, 401. Prime factorization of 32080 in exponential form is:

32080 = 2⁴ × 5¹ × 401¹

Step-2: Prime Factorization of 32096

Prime factors of 32096 are 2, 17, 59. Prime factorization of 32096 in exponential form is:

32096 = 2⁵ × 17¹ × 59¹

Step-3: Factors of 32080

List of positive integer factors of 32080 that divides 32080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 401, 802, 1604, 2005, 3208, 4010, 6416, 8020, 16040

Step-4: Factors of 32096

List of positive integer factors of 32096 that divides 32080 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 59, 68, 118, 136, 236, 272, 472, 544, 944, 1003, 1888, 2006, 4012, 8024, 16048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32080 and 32096. The biggest common factor number is the GCF number.
So the greatest common factor 32080 and 32096 is 16.

Also check out the Least Common Multiple of 32080 and 32096