What is the Greatest Common Factor of 87984 and 87995?

Greatest common factor (GCF) of 87984 and 87995 is 1.

GCF(87984,87995) = 1

We will now calculate the prime factors of 87984 and 87995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87984 and 87995.

How to find the GCF of 87984 and 87995?

We will first find the prime factorization of 87984 and 87995. After we will calculate the factors of 87984 and 87995 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 87995

Prime factors of 87995 are 5, 17599. Prime factorization of 87995 in exponential form is:

87995 = 5¹ × 17599¹

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 87995

List of positive integer factors of 87995 that divides 87984 without a remainder.

1, 5, 17599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87984 and 87995. The biggest common factor number is the GCF number.
So the greatest common factor 87984 and 87995 is 1.

Also check out the Least Common Multiple of 87984 and 87995