What is the Greatest Common Factor of 84065 and 84075?

Greatest common factor (GCF) of 84065 and 84075 is 5.

GCF(84065,84075) = 5

We will now calculate the prime factors of 84065 and 84075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84065 and 84075.

How to find the GCF of 84065 and 84075?

We will first find the prime factorization of 84065 and 84075. After we will calculate the factors of 84065 and 84075 and find the biggest common factor number .

Step-1: Prime Factorization of 84065

Prime factors of 84065 are 5, 17, 23, 43. Prime factorization of 84065 in exponential form is:

84065 = 5¹ × 17¹ × 23¹ × 43¹

Step-2: Prime Factorization of 84075

Prime factors of 84075 are 3, 5, 19, 59. Prime factorization of 84075 in exponential form is:

84075 = 3¹ × 5² × 19¹ × 59¹

Step-3: Factors of 84065

List of positive integer factors of 84065 that divides 84065 without a remainder.

1, 5, 17, 23, 43, 85, 115, 215, 391, 731, 989, 1955, 3655, 4945, 16813

Step-4: Factors of 84075

List of positive integer factors of 84075 that divides 84065 without a remainder.

1, 3, 5, 15, 19, 25, 57, 59, 75, 95, 177, 285, 295, 475, 885, 1121, 1425, 1475, 3363, 4425, 5605, 16815, 28025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84065 and 84075. The biggest common factor number is the GCF number.
So the greatest common factor 84065 and 84075 is 5.

Also check out the Least Common Multiple of 84065 and 84075