What is the Greatest Common Factor of 48025 and 48040?

Greatest common factor (GCF) of 48025 and 48040 is 5.

GCF(48025,48040) = 5

We will now calculate the prime factors of 48025 and 48040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48025 and 48040.

How to find the GCF of 48025 and 48040?

We will first find the prime factorization of 48025 and 48040. After we will calculate the factors of 48025 and 48040 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 48040

Prime factors of 48040 are 2, 5, 1201. Prime factorization of 48040 in exponential form is:

48040 = 2³ × 5¹ × 1201¹

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 48040

List of positive integer factors of 48040 that divides 48025 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1201, 2402, 4804, 6005, 9608, 12010, 24020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48025 and 48040. The biggest common factor number is the GCF number.
So the greatest common factor 48025 and 48040 is 5.

Also check out the Least Common Multiple of 48025 and 48040