What is the Greatest Common Factor of 87320 and 87338?

Greatest common factor (GCF) of 87320 and 87338 is 2.

GCF(87320,87338) = 2

We will now calculate the prime factors of 87320 and 87338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87320 and 87338.

How to find the GCF of 87320 and 87338?

We will first find the prime factorization of 87320 and 87338. After we will calculate the factors of 87320 and 87338 and find the biggest common factor number .

Step-1: Prime Factorization of 87320

Prime factors of 87320 are 2, 5, 37, 59. Prime factorization of 87320 in exponential form is:

87320 = 2³ × 5¹ × 37¹ × 59¹

Step-2: Prime Factorization of 87338

Prime factors of 87338 are 2, 43669. Prime factorization of 87338 in exponential form is:

87338 = 2¹ × 43669¹

Step-3: Factors of 87320

List of positive integer factors of 87320 that divides 87320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 59, 74, 118, 148, 185, 236, 295, 296, 370, 472, 590, 740, 1180, 1480, 2183, 2360, 4366, 8732, 10915, 17464, 21830, 43660

Step-4: Factors of 87338

List of positive integer factors of 87338 that divides 87320 without a remainder.

1, 2, 43669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87320 and 87338. The biggest common factor number is the GCF number.
So the greatest common factor 87320 and 87338 is 2.

Also check out the Least Common Multiple of 87320 and 87338