What is the Greatest Common Factor of 53550 and 53563?

Greatest common factor (GCF) of 53550 and 53563 is 1.

GCF(53550,53563) = 1

We will now calculate the prime factors of 53550 and 53563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53563.

How to find the GCF of 53550 and 53563?

We will first find the prime factorization of 53550 and 53563. After we will calculate the factors of 53550 and 53563 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 53563

Prime factors of 53563 are 29, 1847. Prime factorization of 53563 in exponential form is:

53563 = 29¹ × 1847¹

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 53563

List of positive integer factors of 53563 that divides 53550 without a remainder.

1, 29, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53563. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53563 is 1.

Also check out the Least Common Multiple of 53550 and 53563