What is the Greatest Common Factor of 84080 and 84095?

Greatest common factor (GCF) of 84080 and 84095 is 5.

GCF(84080,84095) = 5

We will now calculate the prime factors of 84080 and 84095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84080 and 84095.

How to find the GCF of 84080 and 84095?

We will first find the prime factorization of 84080 and 84095. After we will calculate the factors of 84080 and 84095 and find the biggest common factor number .

Step-1: Prime Factorization of 84080

Prime factors of 84080 are 2, 5, 1051. Prime factorization of 84080 in exponential form is:

84080 = 2⁴ × 5¹ × 1051¹

Step-2: Prime Factorization of 84095

Prime factors of 84095 are 5, 11, 139. Prime factorization of 84095 in exponential form is:

84095 = 5¹ × 11² × 139¹

Step-3: Factors of 84080

List of positive integer factors of 84080 that divides 84080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1051, 2102, 4204, 5255, 8408, 10510, 16816, 21020, 42040

Step-4: Factors of 84095

List of positive integer factors of 84095 that divides 84080 without a remainder.

1, 5, 11, 55, 121, 139, 605, 695, 1529, 7645, 16819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84080 and 84095. The biggest common factor number is the GCF number.
So the greatest common factor 84080 and 84095 is 5.

Also check out the Least Common Multiple of 84080 and 84095