What is the Greatest Common Factor of 87872 and 87878?

Greatest common factor (GCF) of 87872 and 87878 is 2.

GCF(87872,87878) = 2

We will now calculate the prime factors of 87872 and 87878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87872 and 87878.

How to find the GCF of 87872 and 87878?

We will first find the prime factorization of 87872 and 87878. After we will calculate the factors of 87872 and 87878 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 87878

Prime factors of 87878 are 2, 7, 6277. Prime factorization of 87878 in exponential form is:

87878 = 2¹ × 7¹ × 6277¹

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 87878

List of positive integer factors of 87878 that divides 87872 without a remainder.

1, 2, 7, 14, 6277, 12554, 43939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87872 and 87878. The biggest common factor number is the GCF number.
So the greatest common factor 87872 and 87878 is 2.

Also check out the Least Common Multiple of 87872 and 87878