What is the Greatest Common Factor of 53541 and 53550?

Greatest common factor (GCF) of 53541 and 53550 is 9.

GCF(53541,53550) = 9

We will now calculate the prime factors of 53541 and 53550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53541 and 53550.

How to find the GCF of 53541 and 53550?

We will first find the prime factorization of 53541 and 53550. After we will calculate the factors of 53541 and 53550 and find the biggest common factor number .

Step-1: Prime Factorization of 53541

Prime factors of 53541 are 3, 661. Prime factorization of 53541 in exponential form is:

53541 = 3⁴ × 661¹

Step-2: Prime Factorization of 53550

Prime factors of 53550 are 2, 3, 5, 7, 17. Prime factorization of 53550 in exponential form is:

53550 = 2¹ × 3² × 5² × 7¹ × 17¹

Step-3: Factors of 53541

List of positive integer factors of 53541 that divides 53541 without a remainder.

1, 3, 9, 27, 81, 661, 1983, 5949, 17847

Step-4: Factors of 53550

List of positive integer factors of 53550 that divides 53541 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 25, 30, 34, 35, 42, 45, 50, 51, 63, 70, 75, 85, 90, 102, 105, 119, 126, 150, 153, 170, 175, 210, 225, 238, 255, 306, 315, 350, 357, 425, 450, 510, 525, 595, 630, 714, 765, 850, 1050, 1071, 1190, 1275, 1530, 1575, 1785, 2142, 2550, 2975, 3150, 3570, 3825, 5355, 5950, 7650, 8925, 10710, 17850, 26775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53541 and 53550. The biggest common factor number is the GCF number.
So the greatest common factor 53541 and 53550 is 9.

Also check out the Least Common Multiple of 53541 and 53550