What is the Greatest Common Factor of 74909 and 74916?

Greatest common factor (GCF) of 74909 and 74916 is 1.

GCF(74909,74916) = 1

We will now calculate the prime factors of 74909 and 74916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74909 and 74916.

How to find the GCF of 74909 and 74916?

We will first find the prime factorization of 74909 and 74916. After we will calculate the factors of 74909 and 74916 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 74916

Prime factors of 74916 are 2, 3, 2081. Prime factorization of 74916 in exponential form is:

74916 = 2² × 3² × 2081¹

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 74916

List of positive integer factors of 74916 that divides 74909 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2081, 4162, 6243, 8324, 12486, 18729, 24972, 37458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74909 and 74916. The biggest common factor number is the GCF number.
So the greatest common factor 74909 and 74916 is 1.

Also check out the Least Common Multiple of 74909 and 74916