What is the Greatest Common Factor of 87584 and 87594?

Greatest common factor (GCF) of 87584 and 87594 is 2.

GCF(87584,87594) = 2

We will now calculate the prime factors of 87584 and 87594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87584 and 87594.

How to find the GCF of 87584 and 87594?

We will first find the prime factorization of 87584 and 87594. After we will calculate the factors of 87584 and 87594 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 87594

Prime factors of 87594 are 2, 3, 13, 1123. Prime factorization of 87594 in exponential form is:

87594 = 2¹ × 3¹ × 13¹ × 1123¹

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 87594

List of positive integer factors of 87594 that divides 87584 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1123, 2246, 3369, 6738, 14599, 29198, 43797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87584 and 87594. The biggest common factor number is the GCF number.
So the greatest common factor 87584 and 87594 is 2.

Also check out the Least Common Multiple of 87584 and 87594