What is the Greatest Common Factor of 87872 and 87876?

Greatest common factor (GCF) of 87872 and 87876 is 4.

GCF(87872,87876) = 4

We will now calculate the prime factors of 87872 and 87876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87872 and 87876.

How to find the GCF of 87872 and 87876?

We will first find the prime factorization of 87872 and 87876. After we will calculate the factors of 87872 and 87876 and find the biggest common factor number .

Step-1: Prime Factorization of 87872

Prime factors of 87872 are 2, 1373. Prime factorization of 87872 in exponential form is:

87872 = 2⁶ × 1373¹

Step-2: Prime Factorization of 87876

Prime factors of 87876 are 2, 3, 2441. Prime factorization of 87876 in exponential form is:

87876 = 2² × 3² × 2441¹

Step-3: Factors of 87872

List of positive integer factors of 87872 that divides 87872 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1373, 2746, 5492, 10984, 21968, 43936

Step-4: Factors of 87876

List of positive integer factors of 87876 that divides 87872 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2441, 4882, 7323, 9764, 14646, 21969, 29292, 43938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87872 and 87876. The biggest common factor number is the GCF number.
So the greatest common factor 87872 and 87876 is 4.

Also check out the Least Common Multiple of 87872 and 87876