What is the Greatest Common Factor of 75996 and 76014?

Greatest common factor (GCF) of 75996 and 76014 is 18.

GCF(75996,76014) = 18

We will now calculate the prime factors of 75996 and 76014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75996 and 76014.

How to find the GCF of 75996 and 76014?

We will first find the prime factorization of 75996 and 76014. After we will calculate the factors of 75996 and 76014 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 76014

Prime factors of 76014 are 2, 3, 41, 103. Prime factorization of 76014 in exponential form is:

76014 = 2¹ × 3² × 41¹ × 103¹

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 76014

List of positive integer factors of 76014 that divides 75996 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 103, 123, 206, 246, 309, 369, 618, 738, 927, 1854, 4223, 8446, 12669, 25338, 38007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75996 and 76014. The biggest common factor number is the GCF number.
So the greatest common factor 75996 and 76014 is 18.

Also check out the Least Common Multiple of 75996 and 76014