What is the Greatest Common Factor of 87888 and 87908?

Greatest common factor (GCF) of 87888 and 87908 is 4.

GCF(87888,87908) = 4

We will now calculate the prime factors of 87888 and 87908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87888 and 87908.

How to find the GCF of 87888 and 87908?

We will first find the prime factorization of 87888 and 87908. After we will calculate the factors of 87888 and 87908 and find the biggest common factor number .

Step-1: Prime Factorization of 87888

Prime factors of 87888 are 2, 3, 1831. Prime factorization of 87888 in exponential form is:

87888 = 2⁴ × 3¹ × 1831¹

Step-2: Prime Factorization of 87908

Prime factors of 87908 are 2, 21977. Prime factorization of 87908 in exponential form is:

87908 = 2² × 21977¹

Step-3: Factors of 87888

List of positive integer factors of 87888 that divides 87888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1831, 3662, 5493, 7324, 10986, 14648, 21972, 29296, 43944

Step-4: Factors of 87908

List of positive integer factors of 87908 that divides 87888 without a remainder.

1, 2, 4, 21977, 43954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87888 and 87908. The biggest common factor number is the GCF number.
So the greatest common factor 87888 and 87908 is 4.

Also check out the Least Common Multiple of 87888 and 87908