What is the Greatest Common Factor of 52544 and 52560?

Greatest common factor (GCF) of 52544 and 52560 is 16.

GCF(52544,52560) = 16

We will now calculate the prime factors of 52544 and 52560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52544 and 52560.

How to find the GCF of 52544 and 52560?

We will first find the prime factorization of 52544 and 52560. After we will calculate the factors of 52544 and 52560 and find the biggest common factor number .

Step-1: Prime Factorization of 52544

Prime factors of 52544 are 2, 821. Prime factorization of 52544 in exponential form is:

52544 = 2⁶ × 821¹

Step-2: Prime Factorization of 52560

Prime factors of 52560 are 2, 3, 5, 73. Prime factorization of 52560 in exponential form is:

52560 = 2⁴ × 3² × 5¹ × 73¹

Step-3: Factors of 52544

List of positive integer factors of 52544 that divides 52544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 821, 1642, 3284, 6568, 13136, 26272

Step-4: Factors of 52560

List of positive integer factors of 52560 that divides 52544 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 73, 80, 90, 120, 144, 146, 180, 219, 240, 292, 360, 365, 438, 584, 657, 720, 730, 876, 1095, 1168, 1314, 1460, 1752, 2190, 2628, 2920, 3285, 3504, 4380, 5256, 5840, 6570, 8760, 10512, 13140, 17520, 26280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52544 and 52560. The biggest common factor number is the GCF number.
So the greatest common factor 52544 and 52560 is 16.

Also check out the Least Common Multiple of 52544 and 52560