What is the Greatest Common Factor of 71584 and 71590?

Greatest common factor (GCF) of 71584 and 71590 is 2.

GCF(71584,71590) = 2

We will now calculate the prime factors of 71584 and 71590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71584 and 71590.

How to find the GCF of 71584 and 71590?

We will first find the prime factorization of 71584 and 71590. After we will calculate the factors of 71584 and 71590 and find the biggest common factor number .

Step-1: Prime Factorization of 71584

Prime factors of 71584 are 2, 2237. Prime factorization of 71584 in exponential form is:

71584 = 2⁵ × 2237¹

Step-2: Prime Factorization of 71590

Prime factors of 71590 are 2, 5, 7159. Prime factorization of 71590 in exponential form is:

71590 = 2¹ × 5¹ × 7159¹

Step-3: Factors of 71584

List of positive integer factors of 71584 that divides 71584 without a remainder.

1, 2, 4, 8, 16, 32, 2237, 4474, 8948, 17896, 35792

Step-4: Factors of 71590

List of positive integer factors of 71590 that divides 71584 without a remainder.

1, 2, 5, 10, 7159, 14318, 35795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71584 and 71590. The biggest common factor number is the GCF number.
So the greatest common factor 71584 and 71590 is 2.

Also check out the Least Common Multiple of 71584 and 71590