What is the Greatest Common Factor of 76014 and 76022?

Greatest common factor (GCF) of 76014 and 76022 is 2.

GCF(76014,76022) = 2

We will now calculate the prime factors of 76014 and 76022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76014 and 76022.

How to find the GCF of 76014 and 76022?

We will first find the prime factorization of 76014 and 76022. After we will calculate the factors of 76014 and 76022 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 76022

Prime factors of 76022 are 2, 38011. Prime factorization of 76022 in exponential form is:

76022 = 2¹ × 38011¹

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 76022

List of positive integer factors of 76022 that divides 76014 without a remainder.

1, 2, 38011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76014 and 76022. The biggest common factor number is the GCF number.
So the greatest common factor 76014 and 76022 is 2.

Also check out the Least Common Multiple of 76014 and 76022