What is the Greatest Common Factor of 87568 and 87584?

Greatest common factor (GCF) of 87568 and 87584 is 16.

GCF(87568,87584) = 16

We will now calculate the prime factors of 87568 and 87584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87568 and 87584.

How to find the GCF of 87568 and 87584?

We will first find the prime factorization of 87568 and 87584. After we will calculate the factors of 87568 and 87584 and find the biggest common factor number .

Step-1: Prime Factorization of 87568

Prime factors of 87568 are 2, 13, 421. Prime factorization of 87568 in exponential form is:

87568 = 2⁴ × 13¹ × 421¹

Step-2: 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-3: Factors of 87568

List of positive integer factors of 87568 that divides 87568 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 421, 842, 1684, 3368, 5473, 6736, 10946, 21892, 43784

Step-4: Factors of 87584

List of positive integer factors of 87584 that divides 87568 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87568 and 87584. The biggest common factor number is the GCF number.
So the greatest common factor 87568 and 87584 is 16.

Also check out the Least Common Multiple of 87568 and 87584