What is the Greatest Common Factor of 87888 and 87896?

Greatest common factor (GCF) of 87888 and 87896 is 8.

GCF(87888,87896) = 8

We will now calculate the prime factors of 87888 and 87896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87888 and 87896.

How to find the GCF of 87888 and 87896?

We will first find the prime factorization of 87888 and 87896. After we will calculate the factors of 87888 and 87896 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 87896

Prime factors of 87896 are 2, 10987. Prime factorization of 87896 in exponential form is:

87896 = 2³ × 10987¹

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 87896

List of positive integer factors of 87896 that divides 87888 without a remainder.

1, 2, 4, 8, 10987, 21974, 43948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87888 and 87896. The biggest common factor number is the GCF number.
So the greatest common factor 87888 and 87896 is 8.

Also check out the Least Common Multiple of 87888 and 87896