What is the Greatest Common Factor of 52584 and 52591?

Greatest common factor (GCF) of 52584 and 52591 is 7.

GCF(52584,52591) = 7

We will now calculate the prime factors of 52584 and 52591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52584 and 52591.

How to find the GCF of 52584 and 52591?

We will first find the prime factorization of 52584 and 52591. After we will calculate the factors of 52584 and 52591 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52591

Prime factors of 52591 are 7, 11, 683. Prime factorization of 52591 in exponential form is:

52591 = 7¹ × 11¹ × 683¹

Step-3: Factors of 52584

List of positive integer factors of 52584 that divides 52584 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

Step-4: Factors of 52591

List of positive integer factors of 52591 that divides 52584 without a remainder.

1, 7, 11, 77, 683, 4781, 7513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52584 and 52591. The biggest common factor number is the GCF number.
So the greatest common factor 52584 and 52591 is 7.

Also check out the Least Common Multiple of 52584 and 52591