What is the Greatest Common Factor of 87884 and 87904?

Greatest common factor (GCF) of 87884 and 87904 is 4.

GCF(87884,87904) = 4

We will now calculate the prime factors of 87884 and 87904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87884 and 87904.

How to find the GCF of 87884 and 87904?

We will first find the prime factorization of 87884 and 87904. After we will calculate the factors of 87884 and 87904 and find the biggest common factor number .

Step-1: Prime Factorization of 87884

Prime factors of 87884 are 2, 127, 173. Prime factorization of 87884 in exponential form is:

87884 = 2² × 127¹ × 173¹

Step-2: Prime Factorization of 87904

Prime factors of 87904 are 2, 41, 67. Prime factorization of 87904 in exponential form is:

87904 = 2⁵ × 41¹ × 67¹

Step-3: Factors of 87884

List of positive integer factors of 87884 that divides 87884 without a remainder.

1, 2, 4, 127, 173, 254, 346, 508, 692, 21971, 43942

Step-4: Factors of 87904

List of positive integer factors of 87904 that divides 87884 without a remainder.

1, 2, 4, 8, 16, 32, 41, 67, 82, 134, 164, 268, 328, 536, 656, 1072, 1312, 2144, 2747, 5494, 10988, 21976, 43952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87884 and 87904. The biggest common factor number is the GCF number.
So the greatest common factor 87884 and 87904 is 4.

Also check out the Least Common Multiple of 87884 and 87904