What is the Greatest Common Factor of 83005 and 83025?

Greatest common factor (GCF) of 83005 and 83025 is 5.

GCF(83005,83025) = 5

We will now calculate the prime factors of 83005 and 83025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83005 and 83025.

How to find the GCF of 83005 and 83025?

We will first find the prime factorization of 83005 and 83025. After we will calculate the factors of 83005 and 83025 and find the biggest common factor number .

Step-1: Prime Factorization of 83005

Prime factors of 83005 are 5, 13, 1277. Prime factorization of 83005 in exponential form is:

83005 = 5¹ × 13¹ × 1277¹

Step-2: Prime Factorization of 83025

Prime factors of 83025 are 3, 5, 41. Prime factorization of 83025 in exponential form is:

83025 = 3⁴ × 5² × 41¹

Step-3: Factors of 83005

List of positive integer factors of 83005 that divides 83005 without a remainder.

1, 5, 13, 65, 1277, 6385, 16601

Step-4: Factors of 83025

List of positive integer factors of 83025 that divides 83005 without a remainder.

1, 3, 5, 9, 15, 25, 27, 41, 45, 75, 81, 123, 135, 205, 225, 369, 405, 615, 675, 1025, 1107, 1845, 2025, 3075, 3321, 5535, 9225, 16605, 27675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83005 and 83025. The biggest common factor number is the GCF number.
So the greatest common factor 83005 and 83025 is 5.

Also check out the Least Common Multiple of 83005 and 83025