What is the Greatest Common Factor of 74934 and 74941?

Greatest common factor (GCF) of 74934 and 74941 is 1.

GCF(74934,74941) = 1

We will now calculate the prime factors of 74934 and 74941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74934 and 74941.

How to find the GCF of 74934 and 74941?

We will first find the prime factorization of 74934 and 74941. After we will calculate the factors of 74934 and 74941 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74941

Prime factors of 74941 are 74941. Prime factorization of 74941 in exponential form is:

74941 = 74941¹

Step-3: Factors of 74934

List of positive integer factors of 74934 that divides 74934 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

Step-4: Factors of 74941

List of positive integer factors of 74941 that divides 74934 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74934 and 74941. The biggest common factor number is the GCF number.
So the greatest common factor 74934 and 74941 is 1.

Also check out the Least Common Multiple of 74934 and 74941