What is the Greatest Common Factor of 32081 and 32095?

Greatest common factor (GCF) of 32081 and 32095 is 7.

GCF(32081,32095) = 7

We will now calculate the prime factors of 32081 and 32095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32081 and 32095.

How to find the GCF of 32081 and 32095?

We will first find the prime factorization of 32081 and 32095. After we will calculate the factors of 32081 and 32095 and find the biggest common factor number .

Step-1: Prime Factorization of 32081

Prime factors of 32081 are 7, 4583. Prime factorization of 32081 in exponential form is:

32081 = 7¹ × 4583¹

Step-2: Prime Factorization of 32095

Prime factors of 32095 are 5, 7, 131. Prime factorization of 32095 in exponential form is:

32095 = 5¹ × 7² × 131¹

Step-3: Factors of 32081

List of positive integer factors of 32081 that divides 32081 without a remainder.

1, 7, 4583

Step-4: Factors of 32095

List of positive integer factors of 32095 that divides 32081 without a remainder.

1, 5, 7, 35, 49, 131, 245, 655, 917, 4585, 6419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32081 and 32095. The biggest common factor number is the GCF number.
So the greatest common factor 32081 and 32095 is 7.

Also check out the Least Common Multiple of 32081 and 32095