What is the Greatest Common Factor of 75996 and 76011?

Greatest common factor (GCF) of 75996 and 76011 is 3.

GCF(75996,76011) = 3

We will now calculate the prime factors of 75996 and 76011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75996 and 76011.

How to find the GCF of 75996 and 76011?

We will first find the prime factorization of 75996 and 76011. After we will calculate the factors of 75996 and 76011 and find the biggest common factor number .

Step-1: Prime Factorization of 75996

Prime factors of 75996 are 2, 3, 2111. Prime factorization of 75996 in exponential form is:

75996 = 2² × 3² × 2111¹

Step-2: Prime Factorization of 76011

Prime factors of 76011 are 3, 13, 1949. Prime factorization of 76011 in exponential form is:

76011 = 3¹ × 13¹ × 1949¹

Step-3: Factors of 75996

List of positive integer factors of 75996 that divides 75996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2111, 4222, 6333, 8444, 12666, 18999, 25332, 37998

Step-4: Factors of 76011

List of positive integer factors of 76011 that divides 75996 without a remainder.

1, 3, 13, 39, 1949, 5847, 25337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75996 and 76011. The biggest common factor number is the GCF number.
So the greatest common factor 75996 and 76011 is 3.

Also check out the Least Common Multiple of 75996 and 76011