What is the Greatest Common Factor of 74399 and 74408?

Greatest common factor (GCF) of 74399 and 74408 is 1.

GCF(74399,74408) = 1

We will now calculate the prime factors of 74399 and 74408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74399 and 74408.

How to find the GCF of 74399 and 74408?

We will first find the prime factorization of 74399 and 74408. After we will calculate the factors of 74399 and 74408 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 74408

Prime factors of 74408 are 2, 71, 131. Prime factorization of 74408 in exponential form is:

74408 = 2³ × 71¹ × 131¹

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 74408

List of positive integer factors of 74408 that divides 74399 without a remainder.

1, 2, 4, 8, 71, 131, 142, 262, 284, 524, 568, 1048, 9301, 18602, 37204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74399 and 74408. The biggest common factor number is the GCF number.
So the greatest common factor 74399 and 74408 is 1.

Also check out the Least Common Multiple of 74399 and 74408