What is the Greatest Common Factor of 75981 and 75993?

Greatest common factor (GCF) of 75981 and 75993 is 3.

GCF(75981,75993) = 3

We will now calculate the prime factors of 75981 and 75993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75981 and 75993.

How to find the GCF of 75981 and 75993?

We will first find the prime factorization of 75981 and 75993. After we will calculate the factors of 75981 and 75993 and find the biggest common factor number .

Step-1: Prime Factorization of 75981

Prime factors of 75981 are 3, 19, 31, 43. Prime factorization of 75981 in exponential form is:

75981 = 3¹ × 19¹ × 31¹ × 43¹

Step-2: Prime Factorization of 75993

Prime factors of 75993 are 3, 73, 347. Prime factorization of 75993 in exponential form is:

75993 = 3¹ × 73¹ × 347¹

Step-3: Factors of 75981

List of positive integer factors of 75981 that divides 75981 without a remainder.

1, 3, 19, 31, 43, 57, 93, 129, 589, 817, 1333, 1767, 2451, 3999, 25327

Step-4: Factors of 75993

List of positive integer factors of 75993 that divides 75981 without a remainder.

1, 3, 73, 219, 347, 1041, 25331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75981 and 75993. The biggest common factor number is the GCF number.
So the greatest common factor 75981 and 75993 is 3.

Also check out the Least Common Multiple of 75981 and 75993