What is the Greatest Common Factor of 32084 and 32095?

Greatest common factor (GCF) of 32084 and 32095 is 1.

GCF(32084,32095) = 1

We will now calculate the prime factors of 32084 and 32095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32084 and 32095.

How to find the GCF of 32084 and 32095?

We will first find the prime factorization of 32084 and 32095. After we will calculate the factors of 32084 and 32095 and find the biggest common factor number .

Step-1: Prime Factorization of 32084

Prime factors of 32084 are 2, 13, 617. Prime factorization of 32084 in exponential form is:

32084 = 2² × 13¹ × 617¹

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 32084

List of positive integer factors of 32084 that divides 32084 without a remainder.

1, 2, 4, 13, 26, 52, 617, 1234, 2468, 8021, 16042

Step-4: Factors of 32095

List of positive integer factors of 32095 that divides 32084 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 32084 and 32095. The biggest common factor number is the GCF number.
So the greatest common factor 32084 and 32095 is 1.

Also check out the Least Common Multiple of 32084 and 32095