What is the Greatest Common Factor of 53550 and 53560?

Greatest common factor (GCF) of 53550 and 53560 is 10.

GCF(53550,53560) = 10

We will now calculate the prime factors of 53550 and 53560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53560.

How to find the GCF of 53550 and 53560?

We will first find the prime factorization of 53550 and 53560. After we will calculate the factors of 53550 and 53560 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 53560

Prime factors of 53560 are 2, 5, 13, 103. Prime factorization of 53560 in exponential form is:

53560 = 2³ × 5¹ × 13¹ × 103¹

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 53560

List of positive integer factors of 53560 that divides 53550 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 103, 104, 130, 206, 260, 412, 515, 520, 824, 1030, 1339, 2060, 2678, 4120, 5356, 6695, 10712, 13390, 26780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53560. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53560 is 10.

Also check out the Least Common Multiple of 53550 and 53560