What is the Greatest Common Factor of 87984 and 87990?

Greatest common factor (GCF) of 87984 and 87990 is 6.

GCF(87984,87990) = 6

We will now calculate the prime factors of 87984 and 87990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87984 and 87990.

How to find the GCF of 87984 and 87990?

We will first find the prime factorization of 87984 and 87990. After we will calculate the factors of 87984 and 87990 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 87990

Prime factors of 87990 are 2, 3, 5, 7, 419. Prime factorization of 87990 in exponential form is:

87990 = 2¹ × 3¹ × 5¹ × 7¹ × 419¹

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 87990

List of positive integer factors of 87990 that divides 87984 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 419, 838, 1257, 2095, 2514, 2933, 4190, 5866, 6285, 8799, 12570, 14665, 17598, 29330, 43995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87984 and 87990. The biggest common factor number is the GCF number.
So the greatest common factor 87984 and 87990 is 6.

Also check out the Least Common Multiple of 87984 and 87990