What is the Greatest Common Factor of 53583 and 53601?

Greatest common factor (GCF) of 53583 and 53601 is 3.

GCF(53583,53601) = 3

We will now calculate the prime factors of 53583 and 53601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53583 and 53601.

How to find the GCF of 53583 and 53601?

We will first find the prime factorization of 53583 and 53601. After we will calculate the factors of 53583 and 53601 and find the biggest common factor number .

Step-1: Prime Factorization of 53583

Prime factors of 53583 are 3, 53, 337. Prime factorization of 53583 in exponential form is:

53583 = 3¹ × 53¹ × 337¹

Step-2: Prime Factorization of 53601

Prime factors of 53601 are 3, 17, 1051. Prime factorization of 53601 in exponential form is:

53601 = 3¹ × 17¹ × 1051¹

Step-3: Factors of 53583

List of positive integer factors of 53583 that divides 53583 without a remainder.

1, 3, 53, 159, 337, 1011, 17861

Step-4: Factors of 53601

List of positive integer factors of 53601 that divides 53583 without a remainder.

1, 3, 17, 51, 1051, 3153, 17867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53583 and 53601. The biggest common factor number is the GCF number.
So the greatest common factor 53583 and 53601 is 3.

Also check out the Least Common Multiple of 53583 and 53601