What is the Greatest Common Factor of 87984 and 87988?

Greatest common factor (GCF) of 87984 and 87988 is 4.

GCF(87984,87988) = 4

We will now calculate the prime factors of 87984 and 87988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87984 and 87988.

How to find the GCF of 87984 and 87988?

We will first find the prime factorization of 87984 and 87988. After we will calculate the factors of 87984 and 87988 and find the biggest common factor number .

Step-1: Prime Factorization of 87984

Prime factors of 87984 are 2, 3, 13, 47. Prime factorization of 87984 in exponential form is:

87984 = 2⁴ × 3² × 13¹ × 47¹

Step-2: Prime Factorization of 87988

Prime factors of 87988 are 2, 21997. Prime factorization of 87988 in exponential form is:

87988 = 2² × 21997¹

Step-3: Factors of 87984

List of positive integer factors of 87984 that divides 87984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 47, 48, 52, 72, 78, 94, 104, 117, 141, 144, 156, 188, 208, 234, 282, 312, 376, 423, 468, 564, 611, 624, 752, 846, 936, 1128, 1222, 1692, 1833, 1872, 2256, 2444, 3384, 3666, 4888, 5499, 6768, 7332, 9776, 10998, 14664, 21996, 29328, 43992

Step-4: Factors of 87988

List of positive integer factors of 87988 that divides 87984 without a remainder.

1, 2, 4, 21997, 43994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87984 and 87988. The biggest common factor number is the GCF number.
So the greatest common factor 87984 and 87988 is 4.

Also check out the Least Common Multiple of 87984 and 87988