What is the Greatest Common Factor of 38525 and 38530?

Greatest common factor (GCF) of 38525 and 38530 is 5.

GCF(38525,38530) = 5

We will now calculate the prime factors of 38525 and 38530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38525 and 38530.

How to find the GCF of 38525 and 38530?

We will first find the prime factorization of 38525 and 38530. After we will calculate the factors of 38525 and 38530 and find the biggest common factor number .

Step-1: Prime Factorization of 38525

Prime factors of 38525 are 5, 23, 67. Prime factorization of 38525 in exponential form is:

38525 = 5² × 23¹ × 67¹

Step-2: Prime Factorization of 38530

Prime factors of 38530 are 2, 5, 3853. Prime factorization of 38530 in exponential form is:

38530 = 2¹ × 5¹ × 3853¹

Step-3: Factors of 38525

List of positive integer factors of 38525 that divides 38525 without a remainder.

1, 5, 23, 25, 67, 115, 335, 575, 1541, 1675, 7705

Step-4: Factors of 38530

List of positive integer factors of 38530 that divides 38525 without a remainder.

1, 2, 5, 10, 3853, 7706, 19265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38525 and 38530. The biggest common factor number is the GCF number.
So the greatest common factor 38525 and 38530 is 5.

Also check out the Least Common Multiple of 38525 and 38530