What is the Greatest Common Factor of 53532 and 53550?

Greatest common factor (GCF) of 53532 and 53550 is 18.

GCF(53532,53550) = 18

We will now calculate the prime factors of 53532 and 53550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53532 and 53550.

How to find the GCF of 53532 and 53550?

We will first find the prime factorization of 53532 and 53550. After we will calculate the factors of 53532 and 53550 and find the biggest common factor number .

Step-1: Prime Factorization of 53532

Prime factors of 53532 are 2, 3, 1487. Prime factorization of 53532 in exponential form is:

53532 = 2² × 3² × 1487¹

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 53532

List of positive integer factors of 53532 that divides 53532 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1487, 2974, 4461, 5948, 8922, 13383, 17844, 26766

Step-4: Factors of 53550

List of positive integer factors of 53550 that divides 53532 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 53532 and 53550. The biggest common factor number is the GCF number.
So the greatest common factor 53532 and 53550 is 18.

Also check out the Least Common Multiple of 53532 and 53550