What is the Greatest Common Factor of 52524 and 52540?

Greatest common factor (GCF) of 52524 and 52540 is 4.

GCF(52524,52540) = 4

We will now calculate the prime factors of 52524 and 52540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52524 and 52540.

How to find the GCF of 52524 and 52540?

We will first find the prime factorization of 52524 and 52540. After we will calculate the factors of 52524 and 52540 and find the biggest common factor number .

Step-1: Prime Factorization of 52524

Prime factors of 52524 are 2, 3, 1459. Prime factorization of 52524 in exponential form is:

52524 = 2² × 3² × 1459¹

Step-2: Prime Factorization of 52540

Prime factors of 52540 are 2, 5, 37, 71. Prime factorization of 52540 in exponential form is:

52540 = 2² × 5¹ × 37¹ × 71¹

Step-3: Factors of 52524

List of positive integer factors of 52524 that divides 52524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1459, 2918, 4377, 5836, 8754, 13131, 17508, 26262

Step-4: Factors of 52540

List of positive integer factors of 52540 that divides 52524 without a remainder.

1, 2, 4, 5, 10, 20, 37, 71, 74, 142, 148, 185, 284, 355, 370, 710, 740, 1420, 2627, 5254, 10508, 13135, 26270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52524 and 52540. The biggest common factor number is the GCF number.
So the greatest common factor 52524 and 52540 is 4.

Also check out the Least Common Multiple of 52524 and 52540