What is the Greatest Common Factor of 5025 and 5043?

Greatest common factor (GCF) of 5025 and 5043 is 3.

GCF(5025,5043) = 3

We will now calculate the prime factors of 5025 and 5043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5025 and 5043.

How to find the GCF of 5025 and 5043?

We will first find the prime factorization of 5025 and 5043. After we will calculate the factors of 5025 and 5043 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 5043

Prime factors of 5043 are 3, 41. Prime factorization of 5043 in exponential form is:

5043 = 3¹ × 41²

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 5043

List of positive integer factors of 5043 that divides 5025 without a remainder.

1, 3, 41, 123, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5025 and 5043. The biggest common factor number is the GCF number.
So the greatest common factor 5025 and 5043 is 3.

Also check out the Least Common Multiple of 5025 and 5043