What is the Greatest Common Factor of 32095 and 32102?

Greatest common factor (GCF) of 32095 and 32102 is 7.

GCF(32095,32102) = 7

We will now calculate the prime factors of 32095 and 32102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32095 and 32102.

How to find the GCF of 32095 and 32102?

We will first find the prime factorization of 32095 and 32102. After we will calculate the factors of 32095 and 32102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32102

Prime factors of 32102 are 2, 7, 2293. Prime factorization of 32102 in exponential form is:

32102 = 2¹ × 7¹ × 2293¹

Step-3: Factors of 32095

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

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

Step-4: Factors of 32102

List of positive integer factors of 32102 that divides 32095 without a remainder.

1, 2, 7, 14, 2293, 4586, 16051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32095 and 32102. The biggest common factor number is the GCF number.
So the greatest common factor 32095 and 32102 is 7.

Also check out the Least Common Multiple of 32095 and 32102