What is the Greatest Common Factor of 87376 and 87396?

Greatest common factor (GCF) of 87376 and 87396 is 4.

GCF(87376,87396) = 4

We will now calculate the prime factors of 87376 and 87396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87376 and 87396.

How to find the GCF of 87376 and 87396?

We will first find the prime factorization of 87376 and 87396. After we will calculate the factors of 87376 and 87396 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 87396

Prime factors of 87396 are 2, 3, 7283. Prime factorization of 87396 in exponential form is:

87396 = 2² × 3¹ × 7283¹

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 87396

List of positive integer factors of 87396 that divides 87376 without a remainder.

1, 2, 3, 4, 6, 12, 7283, 14566, 21849, 29132, 43698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87376 and 87396. The biggest common factor number is the GCF number.
So the greatest common factor 87376 and 87396 is 4.

Also check out the Least Common Multiple of 87376 and 87396