What is the Greatest Common Factor of 87584 and 87590?

Greatest common factor (GCF) of 87584 and 87590 is 2.

GCF(87584,87590) = 2

We will now calculate the prime factors of 87584 and 87590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87584 and 87590.

How to find the GCF of 87584 and 87590?

We will first find the prime factorization of 87584 and 87590. After we will calculate the factors of 87584 and 87590 and find the biggest common factor number .

Step-1: Prime Factorization of 87584

Prime factors of 87584 are 2, 7, 17, 23. Prime factorization of 87584 in exponential form is:

87584 = 2⁵ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 87590

Prime factors of 87590 are 2, 5, 19, 461. Prime factorization of 87590 in exponential form is:

87590 = 2¹ × 5¹ × 19¹ × 461¹

Step-3: Factors of 87584

List of positive integer factors of 87584 that divides 87584 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 23, 28, 32, 34, 46, 56, 68, 92, 112, 119, 136, 161, 184, 224, 238, 272, 322, 368, 391, 476, 544, 644, 736, 782, 952, 1288, 1564, 1904, 2576, 2737, 3128, 3808, 5152, 5474, 6256, 10948, 12512, 21896, 43792

Step-4: Factors of 87590

List of positive integer factors of 87590 that divides 87584 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 461, 922, 2305, 4610, 8759, 17518, 43795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87584 and 87590. The biggest common factor number is the GCF number.
So the greatest common factor 87584 and 87590 is 2.

Also check out the Least Common Multiple of 87584 and 87590