What is the Greatest Common Factor of 87567 and 87584?

Greatest common factor (GCF) of 87567 and 87584 is 17.

GCF(87567,87584) = 17

We will now calculate the prime factors of 87567 and 87584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87567 and 87584.

How to find the GCF of 87567 and 87584?

We will first find the prime factorization of 87567 and 87584. After we will calculate the factors of 87567 and 87584 and find the biggest common factor number .

Step-1: Prime Factorization of 87567

Prime factors of 87567 are 3, 17, 101. Prime factorization of 87567 in exponential form is:

87567 = 3¹ × 17² × 101¹

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 87567

List of positive integer factors of 87567 that divides 87567 without a remainder.

1, 3, 17, 51, 101, 289, 303, 867, 1717, 5151, 29189

Step-4: Factors of 87584

List of positive integer factors of 87584 that divides 87567 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 87567 and 87584. The biggest common factor number is the GCF number.
So the greatest common factor 87567 and 87584 is 17.

Also check out the Least Common Multiple of 87567 and 87584