What is the Greatest Common Factor of 61575 and 61595?

Greatest common factor (GCF) of 61575 and 61595 is 5.

GCF(61575,61595) = 5

We will now calculate the prime factors of 61575 and 61595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61575 and 61595.

How to find the GCF of 61575 and 61595?

We will first find the prime factorization of 61575 and 61595. After we will calculate the factors of 61575 and 61595 and find the biggest common factor number .

Step-1: Prime Factorization of 61575

Prime factors of 61575 are 3, 5, 821. Prime factorization of 61575 in exponential form is:

61575 = 3¹ × 5² × 821¹

Step-2: Prime Factorization of 61595

Prime factors of 61595 are 5, 97, 127. Prime factorization of 61595 in exponential form is:

61595 = 5¹ × 97¹ × 127¹

Step-3: Factors of 61575

List of positive integer factors of 61575 that divides 61575 without a remainder.

1, 3, 5, 15, 25, 75, 821, 2463, 4105, 12315, 20525

Step-4: Factors of 61595

List of positive integer factors of 61595 that divides 61575 without a remainder.

1, 5, 97, 127, 485, 635, 12319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61575 and 61595. The biggest common factor number is the GCF number.
So the greatest common factor 61575 and 61595 is 5.

Also check out the Least Common Multiple of 61575 and 61595