What is the Greatest Common Factor of 53550 and 53562?

Greatest common factor (GCF) of 53550 and 53562 is 6.

GCF(53550,53562) = 6

We will now calculate the prime factors of 53550 and 53562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53562.

How to find the GCF of 53550 and 53562?

We will first find the prime factorization of 53550 and 53562. After we will calculate the factors of 53550 and 53562 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 53562

Prime factors of 53562 are 2, 3, 79, 113. Prime factorization of 53562 in exponential form is:

53562 = 2¹ × 3¹ × 79¹ × 113¹

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 53562

List of positive integer factors of 53562 that divides 53550 without a remainder.

1, 2, 3, 6, 79, 113, 158, 226, 237, 339, 474, 678, 8927, 17854, 26781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53562. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53562 is 6.

Also check out the Least Common Multiple of 53550 and 53562