What is the Greatest Common Factor of 45584 and 45601?

Greatest common factor (GCF) of 45584 and 45601 is 1.

GCF(45584,45601) = 1

We will now calculate the prime factors of 45584 and 45601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45584 and 45601.

How to find the GCF of 45584 and 45601?

We will first find the prime factorization of 45584 and 45601. After we will calculate the factors of 45584 and 45601 and find the biggest common factor number .

Step-1: Prime Factorization of 45584

Prime factors of 45584 are 2, 7, 11, 37. Prime factorization of 45584 in exponential form is:

45584 = 2⁴ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 45601

Prime factors of 45601 are 31, 1471. Prime factorization of 45601 in exponential form is:

45601 = 31¹ × 1471¹

Step-3: Factors of 45584

List of positive integer factors of 45584 that divides 45584 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 37, 44, 56, 74, 77, 88, 112, 148, 154, 176, 259, 296, 308, 407, 518, 592, 616, 814, 1036, 1232, 1628, 2072, 2849, 3256, 4144, 5698, 6512, 11396, 22792

Step-4: Factors of 45601

List of positive integer factors of 45601 that divides 45584 without a remainder.

1, 31, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45584 and 45601. The biggest common factor number is the GCF number.
So the greatest common factor 45584 and 45601 is 1.

Also check out the Least Common Multiple of 45584 and 45601