What is the Greatest Common Factor of 87572 and 87584?

Greatest common factor (GCF) of 87572 and 87584 is 4.

GCF(87572,87584) = 4

We will now calculate the prime factors of 87572 and 87584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87572 and 87584.

How to find the GCF of 87572 and 87584?

We will first find the prime factorization of 87572 and 87584. After we will calculate the factors of 87572 and 87584 and find the biggest common factor number .

Step-1: Prime Factorization of 87572

Prime factors of 87572 are 2, 21893. Prime factorization of 87572 in exponential form is:

87572 = 2² × 21893¹

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 87572

List of positive integer factors of 87572 that divides 87572 without a remainder.

1, 2, 4, 21893, 43786

Step-4: Factors of 87584

List of positive integer factors of 87584 that divides 87572 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 87572 and 87584. The biggest common factor number is the GCF number.
So the greatest common factor 87572 and 87584 is 4.

Also check out the Least Common Multiple of 87572 and 87584