What is the Greatest Common Factor of 53550 and 53566?

Greatest common factor (GCF) of 53550 and 53566 is 2.

GCF(53550,53566) = 2

We will now calculate the prime factors of 53550 and 53566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53566.

How to find the GCF of 53550 and 53566?

We will first find the prime factorization of 53550 and 53566. After we will calculate the factors of 53550 and 53566 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 53566

Prime factors of 53566 are 2, 26783. Prime factorization of 53566 in exponential form is:

53566 = 2¹ × 26783¹

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 53566

List of positive integer factors of 53566 that divides 53550 without a remainder.

1, 2, 26783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53566. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53566 is 2.

Also check out the Least Common Multiple of 53550 and 53566