What is the Greatest Common Factor of 52570 and 52584?

Greatest common factor (GCF) of 52570 and 52584 is 14.

GCF(52570,52584) = 14

We will now calculate the prime factors of 52570 and 52584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52570 and 52584.

How to find the GCF of 52570 and 52584?

We will first find the prime factorization of 52570 and 52584. After we will calculate the factors of 52570 and 52584 and find the biggest common factor number .

Step-1: Prime Factorization of 52570

Prime factors of 52570 are 2, 5, 7, 751. Prime factorization of 52570 in exponential form is:

52570 = 2¹ × 5¹ × 7¹ × 751¹

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 52570

List of positive integer factors of 52570 that divides 52570 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 751, 1502, 3755, 5257, 7510, 10514, 26285

Step-4: Factors of 52584

List of positive integer factors of 52584 that divides 52570 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 52570 and 52584. The biggest common factor number is the GCF number.
So the greatest common factor 52570 and 52584 is 14.

Also check out the Least Common Multiple of 52570 and 52584