What is the Greatest Common Factor of 53550 and 53565?

Greatest common factor (GCF) of 53550 and 53565 is 15.

GCF(53550,53565) = 15

We will now calculate the prime factors of 53550 and 53565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53565.

How to find the GCF of 53550 and 53565?

We will first find the prime factorization of 53550 and 53565. After we will calculate the factors of 53550 and 53565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53565

Prime factors of 53565 are 3, 5, 3571. Prime factorization of 53565 in exponential form is:

53565 = 3¹ × 5¹ × 3571¹

Step-3: Factors of 53550

List of positive integer factors of 53550 that divides 53550 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

Step-4: Factors of 53565

List of positive integer factors of 53565 that divides 53550 without a remainder.

1, 3, 5, 15, 3571, 10713, 17855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53565. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53565 is 15.

Also check out the Least Common Multiple of 53550 and 53565