What is the Greatest Common Factor of 83025 and 83029?

Greatest common factor (GCF) of 83025 and 83029 is 1.

GCF(83025,83029) = 1

We will now calculate the prime factors of 83025 and 83029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83025 and 83029.

How to find the GCF of 83025 and 83029?

We will first find the prime factorization of 83025 and 83029. After we will calculate the factors of 83025 and 83029 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 83029

Prime factors of 83029 are 79, 1051. Prime factorization of 83029 in exponential form is:

83029 = 79¹ × 1051¹

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 83029

List of positive integer factors of 83029 that divides 83025 without a remainder.

1, 79, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83025 and 83029. The biggest common factor number is the GCF number.
So the greatest common factor 83025 and 83029 is 1.

Also check out the Least Common Multiple of 83025 and 83029