What is the Greatest Common Factor of 5025 and 5032?

Greatest common factor (GCF) of 5025 and 5032 is 1.

GCF(5025,5032) = 1

We will now calculate the prime factors of 5025 and 5032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5025 and 5032.

How to find the GCF of 5025 and 5032?

We will first find the prime factorization of 5025 and 5032. After we will calculate the factors of 5025 and 5032 and find the biggest common factor number .

Step-1: Prime Factorization of 5025

Prime factors of 5025 are 3, 5, 67. Prime factorization of 5025 in exponential form is:

5025 = 3¹ × 5² × 67¹

Step-2: Prime Factorization of 5032

Prime factors of 5032 are 2, 17, 37. Prime factorization of 5032 in exponential form is:

5032 = 2³ × 17¹ × 37¹

Step-3: Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675

Step-4: Factors of 5032

List of positive integer factors of 5032 that divides 5025 without a remainder.

1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5025 and 5032. The biggest common factor number is the GCF number.
So the greatest common factor 5025 and 5032 is 1.

Also check out the Least Common Multiple of 5025 and 5032