What is the Greatest Common Factor of 59025 and 59030?

Greatest common factor (GCF) of 59025 and 59030 is 5.

GCF(59025,59030) = 5

We will now calculate the prime factors of 59025 and 59030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59025 and 59030.

How to find the GCF of 59025 and 59030?

We will first find the prime factorization of 59025 and 59030. After we will calculate the factors of 59025 and 59030 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 59030

Prime factors of 59030 are 2, 5, 5903. Prime factorization of 59030 in exponential form is:

59030 = 2¹ × 5¹ × 5903¹

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 59030

List of positive integer factors of 59030 that divides 59025 without a remainder.

1, 2, 5, 10, 5903, 11806, 29515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59025 and 59030. The biggest common factor number is the GCF number.
So the greatest common factor 59025 and 59030 is 5.

Also check out the Least Common Multiple of 59025 and 59030