What is the Greatest Common Factor of 74128 and 74140?

Greatest common factor (GCF) of 74128 and 74140 is 4.

GCF(74128,74140) = 4

We will now calculate the prime factors of 74128 and 74140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74128 and 74140.

How to find the GCF of 74128 and 74140?

We will first find the prime factorization of 74128 and 74140. After we will calculate the factors of 74128 and 74140 and find the biggest common factor number .

Step-1: Prime Factorization of 74128

Prime factors of 74128 are 2, 41, 113. Prime factorization of 74128 in exponential form is:

74128 = 2⁴ × 41¹ × 113¹

Step-2: 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-3: Factors of 74128

List of positive integer factors of 74128 that divides 74128 without a remainder.

1, 2, 4, 8, 16, 41, 82, 113, 164, 226, 328, 452, 656, 904, 1808, 4633, 9266, 18532, 37064

Step-4: Factors of 74140

List of positive integer factors of 74140 that divides 74128 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74128 and 74140. The biggest common factor number is the GCF number.
So the greatest common factor 74128 and 74140 is 4.

Also check out the Least Common Multiple of 74128 and 74140