What is the Greatest Common Factor of 59025 and 59035?

Greatest common factor (GCF) of 59025 and 59035 is 5.

GCF(59025,59035) = 5

We will now calculate the prime factors of 59025 and 59035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59025 and 59035.

How to find the GCF of 59025 and 59035?

We will first find the prime factorization of 59025 and 59035. After we will calculate the factors of 59025 and 59035 and find the biggest common factor number .

Step-1: Prime Factorization of 59025

Prime factors of 59025 are 3, 5, 787. Prime factorization of 59025 in exponential form is:

59025 = 3¹ × 5² × 787¹

Step-2: Prime Factorization of 59035

Prime factors of 59035 are 5, 11807. Prime factorization of 59035 in exponential form is:

59035 = 5¹ × 11807¹

Step-3: Factors of 59025

List of positive integer factors of 59025 that divides 59025 without a remainder.

1, 3, 5, 15, 25, 75, 787, 2361, 3935, 11805, 19675

Step-4: Factors of 59035

List of positive integer factors of 59035 that divides 59025 without a remainder.

1, 5, 11807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59025 and 59035. The biggest common factor number is the GCF number.
So the greatest common factor 59025 and 59035 is 5.

Also check out the Least Common Multiple of 59025 and 59035