What is the Greatest Common Factor of 81960 and 81975?

Greatest common factor (GCF) of 81960 and 81975 is 15.

GCF(81960,81975) = 15

We will now calculate the prime factors of 81960 and 81975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81960 and 81975.

How to find the GCF of 81960 and 81975?

We will first find the prime factorization of 81960 and 81975. After we will calculate the factors of 81960 and 81975 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 81975

Prime factors of 81975 are 3, 5, 1093. Prime factorization of 81975 in exponential form is:

81975 = 3¹ × 5² × 1093¹

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 81975

List of positive integer factors of 81975 that divides 81960 without a remainder.

1, 3, 5, 15, 25, 75, 1093, 3279, 5465, 16395, 27325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81960 and 81975. The biggest common factor number is the GCF number.
So the greatest common factor 81960 and 81975 is 15.

Also check out the Least Common Multiple of 81960 and 81975