What is the Greatest Common Factor of 74899 and 74908?

Greatest common factor (GCF) of 74899 and 74908 is 1.

GCF(74899,74908) = 1

We will now calculate the prime factors of 74899 and 74908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74899 and 74908.

How to find the GCF of 74899 and 74908?

We will first find the prime factorization of 74899 and 74908. After we will calculate the factors of 74899 and 74908 and find the biggest common factor number .

Step-1: Prime Factorization of 74899

Prime factors of 74899 are 11, 619. Prime factorization of 74899 in exponential form is:

74899 = 11² × 619¹

Step-2: Prime Factorization of 74908

Prime factors of 74908 are 2, 61, 307. Prime factorization of 74908 in exponential form is:

74908 = 2² × 61¹ × 307¹

Step-3: Factors of 74899

List of positive integer factors of 74899 that divides 74899 without a remainder.

1, 11, 121, 619, 6809

Step-4: Factors of 74908

List of positive integer factors of 74908 that divides 74899 without a remainder.

1, 2, 4, 61, 122, 244, 307, 614, 1228, 18727, 37454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74899 and 74908. The biggest common factor number is the GCF number.
So the greatest common factor 74899 and 74908 is 1.

Also check out the Least Common Multiple of 74899 and 74908