What is the Greatest Common Factor of 59025 and 59037?

Greatest common factor (GCF) of 59025 and 59037 is 3.

GCF(59025,59037) = 3

We will now calculate the prime factors of 59025 and 59037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59025 and 59037.

How to find the GCF of 59025 and 59037?

We will first find the prime factorization of 59025 and 59037. After we will calculate the factors of 59025 and 59037 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 59037

Prime factors of 59037 are 3, 11, 1789. Prime factorization of 59037 in exponential form is:

59037 = 3¹ × 11¹ × 1789¹

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 59037

List of positive integer factors of 59037 that divides 59025 without a remainder.

1, 3, 11, 33, 1789, 5367, 19679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59025 and 59037. The biggest common factor number is the GCF number.
So the greatest common factor 59025 and 59037 is 3.

Also check out the Least Common Multiple of 59025 and 59037