What is the Greatest Common Factor of 48025 and 48029?

Greatest common factor (GCF) of 48025 and 48029 is 1.

GCF(48025,48029) = 1

We will now calculate the prime factors of 48025 and 48029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48025 and 48029.

How to find the GCF of 48025 and 48029?

We will first find the prime factorization of 48025 and 48029. After we will calculate the factors of 48025 and 48029 and find the biggest common factor number .

Step-1: Prime Factorization of 48025

Prime factors of 48025 are 5, 17, 113. Prime factorization of 48025 in exponential form is:

48025 = 5² × 17¹ × 113¹

Step-2: Prime Factorization of 48029

Prime factors of 48029 are 48029. Prime factorization of 48029 in exponential form is:

48029 = 48029¹

Step-3: Factors of 48025

List of positive integer factors of 48025 that divides 48025 without a remainder.

1, 5, 17, 25, 85, 113, 425, 565, 1921, 2825, 9605

Step-4: Factors of 48029

List of positive integer factors of 48029 that divides 48025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48025 and 48029. The biggest common factor number is the GCF number.
So the greatest common factor 48025 and 48029 is 1.

Also check out the Least Common Multiple of 48025 and 48029