What is the Greatest Common Factor of 53530 and 53550?

Greatest common factor (GCF) of 53530 and 53550 is 10.

GCF(53530,53550) = 10

We will now calculate the prime factors of 53530 and 53550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53530 and 53550.

How to find the GCF of 53530 and 53550?

We will first find the prime factorization of 53530 and 53550. After we will calculate the factors of 53530 and 53550 and find the biggest common factor number .

Step-1: Prime Factorization of 53530

Prime factors of 53530 are 2, 5, 53, 101. Prime factorization of 53530 in exponential form is:

53530 = 2¹ × 5¹ × 53¹ × 101¹

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 53530

List of positive integer factors of 53530 that divides 53530 without a remainder.

1, 2, 5, 10, 53, 101, 106, 202, 265, 505, 530, 1010, 5353, 10706, 26765

Step-4: Factors of 53550

List of positive integer factors of 53550 that divides 53530 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 53530 and 53550. The biggest common factor number is the GCF number.
So the greatest common factor 53530 and 53550 is 10.

Also check out the Least Common Multiple of 53530 and 53550