What is the Greatest Common Factor of 74786 and 74804?

Greatest common factor (GCF) of 74786 and 74804 is 2.

GCF(74786,74804) = 2

We will now calculate the prime factors of 74786 and 74804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74786 and 74804.

How to find the GCF of 74786 and 74804?

We will first find the prime factorization of 74786 and 74804. After we will calculate the factors of 74786 and 74804 and find the biggest common factor number .

Step-1: Prime Factorization of 74786

Prime factors of 74786 are 2, 61, 613. Prime factorization of 74786 in exponential form is:

74786 = 2¹ × 61¹ × 613¹

Step-2: Prime Factorization of 74804

Prime factors of 74804 are 2, 18701. Prime factorization of 74804 in exponential form is:

74804 = 2² × 18701¹

Step-3: Factors of 74786

List of positive integer factors of 74786 that divides 74786 without a remainder.

1, 2, 61, 122, 613, 1226, 37393

Step-4: Factors of 74804

List of positive integer factors of 74804 that divides 74786 without a remainder.

1, 2, 4, 18701, 37402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74786 and 74804. The biggest common factor number is the GCF number.
So the greatest common factor 74786 and 74804 is 2.

Also check out the Least Common Multiple of 74786 and 74804