What is the Greatest Common Factor of 52474 and 52488?

Greatest common factor (GCF) of 52474 and 52488 is 2.

GCF(52474,52488) = 2

We will now calculate the prime factors of 52474 and 52488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52474 and 52488.

How to find the GCF of 52474 and 52488?

We will first find the prime factorization of 52474 and 52488. After we will calculate the factors of 52474 and 52488 and find the biggest common factor number .

Step-1: Prime Factorization of 52474

Prime factors of 52474 are 2, 26237. Prime factorization of 52474 in exponential form is:

52474 = 2¹ × 26237¹

Step-2: Prime Factorization of 52488

Prime factors of 52488 are 2, 3. Prime factorization of 52488 in exponential form is:

52488 = 2³ × 3⁸

Step-3: Factors of 52474

List of positive integer factors of 52474 that divides 52474 without a remainder.

1, 2, 26237

Step-4: Factors of 52488

List of positive integer factors of 52488 that divides 52474 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2187, 2916, 4374, 5832, 6561, 8748, 13122, 17496, 26244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52474 and 52488. The biggest common factor number is the GCF number.
So the greatest common factor 52474 and 52488 is 2.

Also check out the Least Common Multiple of 52474 and 52488