What is the Greatest Common Factor of 81972 and 81985?

Greatest common factor (GCF) of 81972 and 81985 is 1.

GCF(81972,81985) = 1

We will now calculate the prime factors of 81972 and 81985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81972 and 81985.

How to find the GCF of 81972 and 81985?

We will first find the prime factorization of 81972 and 81985. After we will calculate the factors of 81972 and 81985 and find the biggest common factor number .

Step-1: Prime Factorization of 81972

Prime factors of 81972 are 2, 3, 11, 23. Prime factorization of 81972 in exponential form is:

81972 = 2² × 3⁴ × 11¹ × 23¹

Step-2: Prime Factorization of 81985

Prime factors of 81985 are 5, 19, 863. Prime factorization of 81985 in exponential form is:

81985 = 5¹ × 19¹ × 863¹

Step-3: Factors of 81972

List of positive integer factors of 81972 that divides 81972 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 27, 33, 36, 44, 46, 54, 66, 69, 81, 92, 99, 108, 132, 138, 162, 198, 207, 253, 276, 297, 324, 396, 414, 506, 594, 621, 759, 828, 891, 1012, 1188, 1242, 1518, 1782, 1863, 2277, 2484, 3036, 3564, 3726, 4554, 6831, 7452, 9108, 13662, 20493, 27324, 40986

Step-4: Factors of 81985

List of positive integer factors of 81985 that divides 81972 without a remainder.

1, 5, 19, 95, 863, 4315, 16397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81972 and 81985. The biggest common factor number is the GCF number.
So the greatest common factor 81972 and 81985 is 1.

Also check out the Least Common Multiple of 81972 and 81985