What is the Greatest Common Factor of 67575 and 67595?

Greatest common factor (GCF) of 67575 and 67595 is 5.

GCF(67575,67595) = 5

We will now calculate the prime factors of 67575 and 67595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67575 and 67595.

How to find the GCF of 67575 and 67595?

We will first find the prime factorization of 67575 and 67595. After we will calculate the factors of 67575 and 67595 and find the biggest common factor number .

Step-1: Prime Factorization of 67575

Prime factors of 67575 are 3, 5, 17, 53. Prime factorization of 67575 in exponential form is:

67575 = 3¹ × 5² × 17¹ × 53¹

Step-2: Prime Factorization of 67595

Prime factors of 67595 are 5, 11, 1229. Prime factorization of 67595 in exponential form is:

67595 = 5¹ × 11¹ × 1229¹

Step-3: Factors of 67575

List of positive integer factors of 67575 that divides 67575 without a remainder.

1, 3, 5, 15, 17, 25, 51, 53, 75, 85, 159, 255, 265, 425, 795, 901, 1275, 1325, 2703, 3975, 4505, 13515, 22525

Step-4: Factors of 67595

List of positive integer factors of 67595 that divides 67575 without a remainder.

1, 5, 11, 55, 1229, 6145, 13519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67575 and 67595. The biggest common factor number is the GCF number.
So the greatest common factor 67575 and 67595 is 5.

Also check out the Least Common Multiple of 67575 and 67595