What is the Greatest Common Factor of 27984 and 27997?

Greatest common factor (GCF) of 27984 and 27997 is 1.

GCF(27984,27997) = 1

We will now calculate the prime factors of 27984 and 27997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27984 and 27997.

How to find the GCF of 27984 and 27997?

We will first find the prime factorization of 27984 and 27997. After we will calculate the factors of 27984 and 27997 and find the biggest common factor number .

Step-1: Prime Factorization of 27984

Prime factors of 27984 are 2, 3, 11, 53. Prime factorization of 27984 in exponential form is:

27984 = 2⁴ × 3¹ × 11¹ × 53¹

Step-2: Prime Factorization of 27997

Prime factors of 27997 are 27997. Prime factorization of 27997 in exponential form is:

27997 = 27997¹

Step-3: Factors of 27984

List of positive integer factors of 27984 that divides 27984 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 53, 66, 88, 106, 132, 159, 176, 212, 264, 318, 424, 528, 583, 636, 848, 1166, 1272, 1749, 2332, 2544, 3498, 4664, 6996, 9328, 13992

Step-4: Factors of 27997

List of positive integer factors of 27997 that divides 27984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27984 and 27997. The biggest common factor number is the GCF number.
So the greatest common factor 27984 and 27997 is 1.

Also check out the Least Common Multiple of 27984 and 27997