What is the Greatest Common Factor of 74806 and 74814?

Greatest common factor (GCF) of 74806 and 74814 is 2.

GCF(74806,74814) = 2

We will now calculate the prime factors of 74806 and 74814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74806 and 74814.

How to find the GCF of 74806 and 74814?

We will first find the prime factorization of 74806 and 74814. After we will calculate the factors of 74806 and 74814 and find the biggest common factor number .

Step-1: Prime Factorization of 74806

Prime factors of 74806 are 2, 113, 331. Prime factorization of 74806 in exponential form is:

74806 = 2¹ × 113¹ × 331¹

Step-2: Prime Factorization of 74814

Prime factors of 74814 are 2, 3, 37, 337. Prime factorization of 74814 in exponential form is:

74814 = 2¹ × 3¹ × 37¹ × 337¹

Step-3: Factors of 74806

List of positive integer factors of 74806 that divides 74806 without a remainder.

1, 2, 113, 226, 331, 662, 37403

Step-4: Factors of 74814

List of positive integer factors of 74814 that divides 74806 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 337, 674, 1011, 2022, 12469, 24938, 37407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74806 and 74814. The biggest common factor number is the GCF number.
So the greatest common factor 74806 and 74814 is 2.

Also check out the Least Common Multiple of 74806 and 74814