What is the Greatest Common Factor of 53585 and 53599?

Greatest common factor (GCF) of 53585 and 53599 is 7.

GCF(53585,53599) = 7

We will now calculate the prime factors of 53585 and 53599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53585 and 53599.

How to find the GCF of 53585 and 53599?

We will first find the prime factorization of 53585 and 53599. After we will calculate the factors of 53585 and 53599 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 53599

Prime factors of 53599 are 7, 13, 19, 31. Prime factorization of 53599 in exponential form is:

53599 = 7¹ × 13¹ × 19¹ × 31¹

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 53599

List of positive integer factors of 53599 that divides 53585 without a remainder.

1, 7, 13, 19, 31, 91, 133, 217, 247, 403, 589, 1729, 2821, 4123, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53585 and 53599. The biggest common factor number is the GCF number.
So the greatest common factor 53585 and 53599 is 7.

Also check out the Least Common Multiple of 53585 and 53599