What is the Greatest Common Factor of 53584 and 53590?

Greatest common factor (GCF) of 53584 and 53590 is 2.

GCF(53584,53590) = 2

We will now calculate the prime factors of 53584 and 53590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53584 and 53590.

How to find the GCF of 53584 and 53590?

We will first find the prime factorization of 53584 and 53590. After we will calculate the factors of 53584 and 53590 and find the biggest common factor number .

Step-1: Prime Factorization of 53584

Prime factors of 53584 are 2, 17, 197. Prime factorization of 53584 in exponential form is:

53584 = 2⁴ × 17¹ × 197¹

Step-2: Prime Factorization of 53590

Prime factors of 53590 are 2, 5, 23, 233. Prime factorization of 53590 in exponential form is:

53590 = 2¹ × 5¹ × 23¹ × 233¹

Step-3: Factors of 53584

List of positive integer factors of 53584 that divides 53584 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 197, 272, 394, 788, 1576, 3152, 3349, 6698, 13396, 26792

Step-4: Factors of 53590

List of positive integer factors of 53590 that divides 53584 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 233, 466, 1165, 2330, 5359, 10718, 26795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53584 and 53590. The biggest common factor number is the GCF number.
So the greatest common factor 53584 and 53590 is 2.

Also check out the Least Common Multiple of 53584 and 53590