What is the Greatest Common Factor of 87884 and 87888?

Greatest common factor (GCF) of 87884 and 87888 is 4.

GCF(87884,87888) = 4

We will now calculate the prime factors of 87884 and 87888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87884 and 87888.

How to find the GCF of 87884 and 87888?

We will first find the prime factorization of 87884 and 87888. After we will calculate the factors of 87884 and 87888 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 87888

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

87888 = 2⁴ × 3¹ × 1831¹

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 87888

List of positive integer factors of 87888 that divides 87884 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87884 and 87888. The biggest common factor number is the GCF number.
So the greatest common factor 87884 and 87888 is 4.

Also check out the Least Common Multiple of 87884 and 87888