What is the Greatest Common Factor of 59025 and 59038?

Greatest common factor (GCF) of 59025 and 59038 is 1.

GCF(59025,59038) = 1

We will now calculate the prime factors of 59025 and 59038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59025 and 59038.

How to find the GCF of 59025 and 59038?

We will first find the prime factorization of 59025 and 59038. After we will calculate the factors of 59025 and 59038 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 59038

Prime factors of 59038 are 2, 7, 4217. Prime factorization of 59038 in exponential form is:

59038 = 2¹ × 7¹ × 4217¹

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 59038

List of positive integer factors of 59038 that divides 59025 without a remainder.

1, 2, 7, 14, 4217, 8434, 29519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59025 and 59038. The biggest common factor number is the GCF number.
So the greatest common factor 59025 and 59038 is 1.

Also check out the Least Common Multiple of 59025 and 59038