What is the Greatest Common Factor of 87984 and 87997?

Greatest common factor (GCF) of 87984 and 87997 is 13.

GCF(87984,87997) = 13

We will now calculate the prime factors of 87984 and 87997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87984 and 87997.

How to find the GCF of 87984 and 87997?

We will first find the prime factorization of 87984 and 87997. After we will calculate the factors of 87984 and 87997 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 87997

Prime factors of 87997 are 7, 13, 967. Prime factorization of 87997 in exponential form is:

87997 = 7¹ × 13¹ × 967¹

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 87997

List of positive integer factors of 87997 that divides 87984 without a remainder.

1, 7, 13, 91, 967, 6769, 12571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87984 and 87997. The biggest common factor number is the GCF number.
So the greatest common factor 87984 and 87997 is 13.

Also check out the Least Common Multiple of 87984 and 87997