What is the Greatest Common Factor of 87984 and 87991?

Greatest common factor (GCF) of 87984 and 87991 is 1.

GCF(87984,87991) = 1

We will now calculate the prime factors of 87984 and 87991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87984 and 87991.

How to find the GCF of 87984 and 87991?

We will first find the prime factorization of 87984 and 87991. After we will calculate the factors of 87984 and 87991 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 87991

Prime factors of 87991 are 87991. Prime factorization of 87991 in exponential form is:

87991 = 87991¹

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 87991

List of positive integer factors of 87991 that divides 87984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87984 and 87991. The biggest common factor number is the GCF number.
So the greatest common factor 87984 and 87991 is 1.

Also check out the Least Common Multiple of 87984 and 87991