What is the Greatest Common Factor of 67575 and 67590?

Greatest common factor (GCF) of 67575 and 67590 is 15.

GCF(67575,67590) = 15

We will now calculate the prime factors of 67575 and 67590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67575 and 67590.

How to find the GCF of 67575 and 67590?

We will first find the prime factorization of 67575 and 67590. After we will calculate the factors of 67575 and 67590 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 67590

Prime factors of 67590 are 2, 3, 5, 751. Prime factorization of 67590 in exponential form is:

67590 = 2¹ × 3² × 5¹ × 751¹

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 67590

List of positive integer factors of 67590 that divides 67575 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 751, 1502, 2253, 3755, 4506, 6759, 7510, 11265, 13518, 22530, 33795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67575 and 67590. The biggest common factor number is the GCF number.
So the greatest common factor 67575 and 67590 is 15.

Also check out the Least Common Multiple of 67575 and 67590