What is the Greatest Common Factor of 48025 and 48035?

Greatest common factor (GCF) of 48025 and 48035 is 5.

GCF(48025,48035) = 5

We will now calculate the prime factors of 48025 and 48035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48025 and 48035.

How to find the GCF of 48025 and 48035?

We will first find the prime factorization of 48025 and 48035. After we will calculate the factors of 48025 and 48035 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 48035

Prime factors of 48035 are 5, 13, 739. Prime factorization of 48035 in exponential form is:

48035 = 5¹ × 13¹ × 739¹

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 48035

List of positive integer factors of 48035 that divides 48025 without a remainder.

1, 5, 13, 65, 739, 3695, 9607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48025 and 48035. The biggest common factor number is the GCF number.
So the greatest common factor 48025 and 48035 is 5.

Also check out the Least Common Multiple of 48025 and 48035