What is the Greatest Common Factor of 38505 and 38525?

Greatest common factor (GCF) of 38505 and 38525 is 5.

GCF(38505,38525) = 5

We will now calculate the prime factors of 38505 and 38525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38505 and 38525.

How to find the GCF of 38505 and 38525?

We will first find the prime factorization of 38505 and 38525. After we will calculate the factors of 38505 and 38525 and find the biggest common factor number .

Step-1: Prime Factorization of 38505

Prime factors of 38505 are 3, 5, 17, 151. Prime factorization of 38505 in exponential form is:

38505 = 3¹ × 5¹ × 17¹ × 151¹

Step-2: 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-3: Factors of 38505

List of positive integer factors of 38505 that divides 38505 without a remainder.

1, 3, 5, 15, 17, 51, 85, 151, 255, 453, 755, 2265, 2567, 7701, 12835

Step-4: Factors of 38525

List of positive integer factors of 38525 that divides 38505 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38505 and 38525. The biggest common factor number is the GCF number.
So the greatest common factor 38505 and 38525 is 5.

Also check out the Least Common Multiple of 38505 and 38525