What is the Greatest Common Factor of 83025 and 83045?

Greatest common factor (GCF) of 83025 and 83045 is 5.

GCF(83025,83045) = 5

We will now calculate the prime factors of 83025 and 83045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83025 and 83045.

How to find the GCF of 83025 and 83045?

We will first find the prime factorization of 83025 and 83045. After we will calculate the factors of 83025 and 83045 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83045

Prime factors of 83045 are 5, 17, 977. Prime factorization of 83045 in exponential form is:

83045 = 5¹ × 17¹ × 977¹

Step-3: Factors of 83025

List of positive integer factors of 83025 that divides 83025 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

Step-4: Factors of 83045

List of positive integer factors of 83045 that divides 83025 without a remainder.

1, 5, 17, 85, 977, 4885, 16609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83025 and 83045. The biggest common factor number is the GCF number.
So the greatest common factor 83025 and 83045 is 5.

Also check out the Least Common Multiple of 83025 and 83045