What is the Greatest Common Factor of 52554 and 52560?

Greatest common factor (GCF) of 52554 and 52560 is 6.

GCF(52554,52560) = 6

We will now calculate the prime factors of 52554 and 52560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52554 and 52560.

How to find the GCF of 52554 and 52560?

We will first find the prime factorization of 52554 and 52560. After we will calculate the factors of 52554 and 52560 and find the biggest common factor number .

Step-1: Prime Factorization of 52554

Prime factors of 52554 are 2, 3, 19, 461. Prime factorization of 52554 in exponential form is:

52554 = 2¹ × 3¹ × 19¹ × 461¹

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 52554

List of positive integer factors of 52554 that divides 52554 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 461, 922, 1383, 2766, 8759, 17518, 26277

Step-4: Factors of 52560

List of positive integer factors of 52560 that divides 52554 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 52554 and 52560. The biggest common factor number is the GCF number.
So the greatest common factor 52554 and 52560 is 6.

Also check out the Least Common Multiple of 52554 and 52560