What is the Greatest Common Factor of 87596 and 87600?

Greatest common factor (GCF) of 87596 and 87600 is 4.

GCF(87596,87600) = 4

We will now calculate the prime factors of 87596 and 87600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87596 and 87600.

How to find the GCF of 87596 and 87600?

We will first find the prime factorization of 87596 and 87600. After we will calculate the factors of 87596 and 87600 and find the biggest common factor number .

Step-1: Prime Factorization of 87596

Prime factors of 87596 are 2, 61, 359. Prime factorization of 87596 in exponential form is:

87596 = 2² × 61¹ × 359¹

Step-2: Prime Factorization of 87600

Prime factors of 87600 are 2, 3, 5, 73. Prime factorization of 87600 in exponential form is:

87600 = 2⁴ × 3¹ × 5² × 73¹

Step-3: Factors of 87596

List of positive integer factors of 87596 that divides 87596 without a remainder.

1, 2, 4, 61, 122, 244, 359, 718, 1436, 21899, 43798

Step-4: Factors of 87600

List of positive integer factors of 87600 that divides 87596 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 73, 75, 80, 100, 120, 146, 150, 200, 219, 240, 292, 300, 365, 400, 438, 584, 600, 730, 876, 1095, 1168, 1200, 1460, 1752, 1825, 2190, 2920, 3504, 3650, 4380, 5475, 5840, 7300, 8760, 10950, 14600, 17520, 21900, 29200, 43800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87596 and 87600. The biggest common factor number is the GCF number.
So the greatest common factor 87596 and 87600 is 4.

Also check out the Least Common Multiple of 87596 and 87600