What is the Greatest Common Factor of 76014 and 76018?

Greatest common factor (GCF) of 76014 and 76018 is 2.

GCF(76014,76018) = 2

We will now calculate the prime factors of 76014 and 76018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76014 and 76018.

How to find the GCF of 76014 and 76018?

We will first find the prime factorization of 76014 and 76018. After we will calculate the factors of 76014 and 76018 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76018

Prime factors of 76018 are 2, 191, 199. Prime factorization of 76018 in exponential form is:

76018 = 2¹ × 191¹ × 199¹

Step-3: Factors of 76014

List of positive integer factors of 76014 that divides 76014 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

Step-4: Factors of 76018

List of positive integer factors of 76018 that divides 76014 without a remainder.

1, 2, 191, 199, 382, 398, 38009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76014 and 76018. The biggest common factor number is the GCF number.
So the greatest common factor 76014 and 76018 is 2.

Also check out the Least Common Multiple of 76014 and 76018