What is the Greatest Common Factor of 74893 and 74908?

Greatest common factor (GCF) of 74893 and 74908 is 1.

GCF(74893,74908) = 1

We will now calculate the prime factors of 74893 and 74908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74893 and 74908.

How to find the GCF of 74893 and 74908?

We will first find the prime factorization of 74893 and 74908. After we will calculate the factors of 74893 and 74908 and find the biggest common factor number .

Step-1: Prime Factorization of 74893

Prime factors of 74893 are 7, 13, 823. Prime factorization of 74893 in exponential form is:

74893 = 7¹ × 13¹ × 823¹

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 74893

List of positive integer factors of 74893 that divides 74893 without a remainder.

1, 7, 13, 91, 823, 5761, 10699

Step-4: Factors of 74908

List of positive integer factors of 74908 that divides 74893 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 74893 and 74908. The biggest common factor number is the GCF number.
So the greatest common factor 74893 and 74908 is 1.

Also check out the Least Common Multiple of 74893 and 74908