What is the Greatest Common Factor of 58510 and 58525?

Greatest common factor (GCF) of 58510 and 58525 is 5.

GCF(58510,58525) = 5

We will now calculate the prime factors of 58510 and 58525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58510 and 58525.

How to find the GCF of 58510 and 58525?

We will first find the prime factorization of 58510 and 58525. After we will calculate the factors of 58510 and 58525 and find the biggest common factor number .

Step-1: Prime Factorization of 58510

Prime factors of 58510 are 2, 5, 5851. Prime factorization of 58510 in exponential form is:

58510 = 2¹ × 5¹ × 5851¹

Step-2: Prime Factorization of 58525

Prime factors of 58525 are 5, 2341. Prime factorization of 58525 in exponential form is:

58525 = 5² × 2341¹

Step-3: Factors of 58510

List of positive integer factors of 58510 that divides 58510 without a remainder.

1, 2, 5, 10, 5851, 11702, 29255

Step-4: Factors of 58525

List of positive integer factors of 58525 that divides 58510 without a remainder.

1, 5, 25, 2341, 11705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58510 and 58525. The biggest common factor number is the GCF number.
So the greatest common factor 58510 and 58525 is 5.

Also check out the Least Common Multiple of 58510 and 58525