What is the Greatest Common Factor of 52575 and 52584?

Greatest common factor (GCF) of 52575 and 52584 is 3.

GCF(52575,52584) = 3

We will now calculate the prime factors of 52575 and 52584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52575 and 52584.

How to find the GCF of 52575 and 52584?

We will first find the prime factorization of 52575 and 52584. After we will calculate the factors of 52575 and 52584 and find the biggest common factor number .

Step-1: Prime Factorization of 52575

Prime factors of 52575 are 3, 5, 701. Prime factorization of 52575 in exponential form is:

52575 = 3¹ × 5² × 701¹

Step-2: Prime Factorization of 52584

Prime factors of 52584 are 2, 3, 7, 313. Prime factorization of 52584 in exponential form is:

52584 = 2³ × 3¹ × 7¹ × 313¹

Step-3: Factors of 52575

List of positive integer factors of 52575 that divides 52575 without a remainder.

1, 3, 5, 15, 25, 75, 701, 2103, 3505, 10515, 17525

Step-4: Factors of 52584

List of positive integer factors of 52584 that divides 52575 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 313, 626, 939, 1252, 1878, 2191, 2504, 3756, 4382, 6573, 7512, 8764, 13146, 17528, 26292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52575 and 52584. The biggest common factor number is the GCF number.
So the greatest common factor 52575 and 52584 is 3.

Also check out the Least Common Multiple of 52575 and 52584