What is the Greatest Common Factor of 53550 and 53564?

Greatest common factor (GCF) of 53550 and 53564 is 14.

GCF(53550,53564) = 14

We will now calculate the prime factors of 53550 and 53564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53564.

How to find the GCF of 53550 and 53564?

We will first find the prime factorization of 53550 and 53564. After we will calculate the factors of 53550 and 53564 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 53564

Prime factors of 53564 are 2, 7, 1913. Prime factorization of 53564 in exponential form is:

53564 = 2² × 7¹ × 1913¹

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 53564

List of positive integer factors of 53564 that divides 53550 without a remainder.

1, 2, 4, 7, 14, 28, 1913, 3826, 7652, 13391, 26782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53564. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53564 is 14.

Also check out the Least Common Multiple of 53550 and 53564