What is the Greatest Common Factor of 53585 and 53592?

Greatest common factor (GCF) of 53585 and 53592 is 7.

GCF(53585,53592) = 7

We will now calculate the prime factors of 53585 and 53592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53585 and 53592.

How to find the GCF of 53585 and 53592?

We will first find the prime factorization of 53585 and 53592. After we will calculate the factors of 53585 and 53592 and find the biggest common factor number .

Step-1: Prime Factorization of 53585

Prime factors of 53585 are 5, 7, 1531. Prime factorization of 53585 in exponential form is:

53585 = 5¹ × 7¹ × 1531¹

Step-2: Prime Factorization of 53592

Prime factors of 53592 are 2, 3, 7, 11, 29. Prime factorization of 53592 in exponential form is:

53592 = 2³ × 3¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 53585

List of positive integer factors of 53585 that divides 53585 without a remainder.

1, 5, 7, 35, 1531, 7655, 10717

Step-4: Factors of 53592

List of positive integer factors of 53592 that divides 53585 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 29, 33, 42, 44, 56, 58, 66, 77, 84, 87, 88, 116, 132, 154, 168, 174, 203, 231, 232, 264, 308, 319, 348, 406, 462, 609, 616, 638, 696, 812, 924, 957, 1218, 1276, 1624, 1848, 1914, 2233, 2436, 2552, 3828, 4466, 4872, 6699, 7656, 8932, 13398, 17864, 26796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53585 and 53592. The biggest common factor number is the GCF number.
So the greatest common factor 53585 and 53592 is 7.

Also check out the Least Common Multiple of 53585 and 53592