What is the Greatest Common Factor of 53533 and 53550?

Greatest common factor (GCF) of 53533 and 53550 is 17.

GCF(53533,53550) = 17

We will now calculate the prime factors of 53533 and 53550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53533 and 53550.

How to find the GCF of 53533 and 53550?

We will first find the prime factorization of 53533 and 53550. After we will calculate the factors of 53533 and 53550 and find the biggest common factor number .

Step-1: Prime Factorization of 53533

Prime factors of 53533 are 17, 47, 67. Prime factorization of 53533 in exponential form is:

53533 = 17¹ × 47¹ × 67¹

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 53533

List of positive integer factors of 53533 that divides 53533 without a remainder.

1, 17, 47, 67, 799, 1139, 3149

Step-4: Factors of 53550

List of positive integer factors of 53550 that divides 53533 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 53533 and 53550. The biggest common factor number is the GCF number.
So the greatest common factor 53533 and 53550 is 17.

Also check out the Least Common Multiple of 53533 and 53550