What is the Greatest Common Factor of 74916 and 74934?

Greatest common factor (GCF) of 74916 and 74934 is 18.

GCF(74916,74934) = 18

We will now calculate the prime factors of 74916 and 74934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74916 and 74934.

How to find the GCF of 74916 and 74934?

We will first find the prime factorization of 74916 and 74934. After we will calculate the factors of 74916 and 74934 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74934

Prime factors of 74934 are 2, 3, 23, 181. Prime factorization of 74934 in exponential form is:

74934 = 2¹ × 3² × 23¹ × 181¹

Step-3: Factors of 74916

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

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

Step-4: Factors of 74934

List of positive integer factors of 74934 that divides 74916 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 181, 207, 362, 414, 543, 1086, 1629, 3258, 4163, 8326, 12489, 24978, 37467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74916 and 74934. The biggest common factor number is the GCF number.
So the greatest common factor 74916 and 74934 is 18.

Also check out the Least Common Multiple of 74916 and 74934