What is the Greatest Common Factor of 74399 and 74407?

Greatest common factor (GCF) of 74399 and 74407 is 1.

GCF(74399,74407) = 1

We will now calculate the prime factors of 74399 and 74407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74399 and 74407.

How to find the GCF of 74399 and 74407?

We will first find the prime factorization of 74399 and 74407. After we will calculate the factors of 74399 and 74407 and find the biggest common factor number .

Step-1: Prime Factorization of 74399

Prime factors of 74399 are 13, 59, 97. Prime factorization of 74399 in exponential form is:

74399 = 13¹ × 59¹ × 97¹

Step-2: Prime Factorization of 74407

Prime factors of 74407 are 37, 2011. Prime factorization of 74407 in exponential form is:

74407 = 37¹ × 2011¹

Step-3: Factors of 74399

List of positive integer factors of 74399 that divides 74399 without a remainder.

1, 13, 59, 97, 767, 1261, 5723

Step-4: Factors of 74407

List of positive integer factors of 74407 that divides 74399 without a remainder.

1, 37, 2011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74399 and 74407. The biggest common factor number is the GCF number.
So the greatest common factor 74399 and 74407 is 1.

Also check out the Least Common Multiple of 74399 and 74407