What is the Greatest Common Factor of 74140 and 74149?

Greatest common factor (GCF) of 74140 and 74149 is 1.

GCF(74140,74149) = 1

We will now calculate the prime factors of 74140 and 74149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74140 and 74149.

How to find the GCF of 74140 and 74149?

We will first find the prime factorization of 74140 and 74149. After we will calculate the factors of 74140 and 74149 and find the biggest common factor number .

Step-1: Prime Factorization of 74140

Prime factors of 74140 are 2, 5, 11, 337. Prime factorization of 74140 in exponential form is:

74140 = 2² × 5¹ × 11¹ × 337¹

Step-2: Prime Factorization of 74149

Prime factors of 74149 are 74149. Prime factorization of 74149 in exponential form is:

74149 = 74149¹

Step-3: Factors of 74140

List of positive integer factors of 74140 that divides 74140 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 337, 674, 1348, 1685, 3370, 3707, 6740, 7414, 14828, 18535, 37070

Step-4: Factors of 74149

List of positive integer factors of 74149 that divides 74140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74140 and 74149. The biggest common factor number is the GCF number.
So the greatest common factor 74140 and 74149 is 1.

Also check out the Least Common Multiple of 74140 and 74149