What is the Greatest Common Factor of 87376 and 87392?

Greatest common factor (GCF) of 87376 and 87392 is 16.

GCF(87376,87392) = 16

We will now calculate the prime factors of 87376 and 87392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87376 and 87392.

How to find the GCF of 87376 and 87392?

We will first find the prime factorization of 87376 and 87392. After we will calculate the factors of 87376 and 87392 and find the biggest common factor number .

Step-1: Prime Factorization of 87376

Prime factors of 87376 are 2, 43, 127. Prime factorization of 87376 in exponential form is:

87376 = 2⁴ × 43¹ × 127¹

Step-2: Prime Factorization of 87392

Prime factors of 87392 are 2, 2731. Prime factorization of 87392 in exponential form is:

87392 = 2⁵ × 2731¹

Step-3: Factors of 87376

List of positive integer factors of 87376 that divides 87376 without a remainder.

1, 2, 4, 8, 16, 43, 86, 127, 172, 254, 344, 508, 688, 1016, 2032, 5461, 10922, 21844, 43688

Step-4: Factors of 87392

List of positive integer factors of 87392 that divides 87376 without a remainder.

1, 2, 4, 8, 16, 32, 2731, 5462, 10924, 21848, 43696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87376 and 87392. The biggest common factor number is the GCF number.
So the greatest common factor 87376 and 87392 is 16.

Also check out the Least Common Multiple of 87376 and 87392