What is the Greatest Common Factor of 74909 and 74927?

Greatest common factor (GCF) of 74909 and 74927 is 1.

GCF(74909,74927) = 1

We will now calculate the prime factors of 74909 and 74927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74909 and 74927.

How to find the GCF of 74909 and 74927?

We will first find the prime factorization of 74909 and 74927. After we will calculate the factors of 74909 and 74927 and find the biggest common factor number .

Step-1: Prime Factorization of 74909

Prime factors of 74909 are 173, 433. Prime factorization of 74909 in exponential form is:

74909 = 173¹ × 433¹

Step-2: Prime Factorization of 74927

Prime factors of 74927 are 31, 2417. Prime factorization of 74927 in exponential form is:

74927 = 31¹ × 2417¹

Step-3: Factors of 74909

List of positive integer factors of 74909 that divides 74909 without a remainder.

1, 173, 433

Step-4: Factors of 74927

List of positive integer factors of 74927 that divides 74909 without a remainder.

1, 31, 2417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74909 and 74927. The biggest common factor number is the GCF number.
So the greatest common factor 74909 and 74927 is 1.

Also check out the Least Common Multiple of 74909 and 74927