What is the Greatest Common Factor of 81960 and 81966?

Greatest common factor (GCF) of 81960 and 81966 is 6.

GCF(81960,81966) = 6

We will now calculate the prime factors of 81960 and 81966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81960 and 81966.

How to find the GCF of 81960 and 81966?

We will first find the prime factorization of 81960 and 81966. After we will calculate the factors of 81960 and 81966 and find the biggest common factor number .

Step-1: Prime Factorization of 81960

Prime factors of 81960 are 2, 3, 5, 683. Prime factorization of 81960 in exponential form is:

81960 = 2³ × 3¹ × 5¹ × 683¹

Step-2: Prime Factorization of 81966

Prime factors of 81966 are 2, 3, 19, 719. Prime factorization of 81966 in exponential form is:

81966 = 2¹ × 3¹ × 19¹ × 719¹

Step-3: Factors of 81960

List of positive integer factors of 81960 that divides 81960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 683, 1366, 2049, 2732, 3415, 4098, 5464, 6830, 8196, 10245, 13660, 16392, 20490, 27320, 40980

Step-4: Factors of 81966

List of positive integer factors of 81966 that divides 81960 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 719, 1438, 2157, 4314, 13661, 27322, 40983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81960 and 81966. The biggest common factor number is the GCF number.
So the greatest common factor 81960 and 81966 is 6.

Also check out the Least Common Multiple of 81960 and 81966