What is the Greatest Common Factor of 53538 and 53550?

Greatest common factor (GCF) of 53538 and 53550 is 6.

GCF(53538,53550) = 6

We will now calculate the prime factors of 53538 and 53550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53538 and 53550.

How to find the GCF of 53538 and 53550?

We will first find the prime factorization of 53538 and 53550. After we will calculate the factors of 53538 and 53550 and find the biggest common factor number .

Step-1: Prime Factorization of 53538

Prime factors of 53538 are 2, 3, 8923. Prime factorization of 53538 in exponential form is:

53538 = 2¹ × 3¹ × 8923¹

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 53538

List of positive integer factors of 53538 that divides 53538 without a remainder.

1, 2, 3, 6, 8923, 17846, 26769

Step-4: Factors of 53550

List of positive integer factors of 53550 that divides 53538 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 53538 and 53550. The biggest common factor number is the GCF number.
So the greatest common factor 53538 and 53550 is 6.

Also check out the Least Common Multiple of 53538 and 53550