What is the Greatest Common Factor of 74120 and 74140?

Greatest common factor (GCF) of 74120 and 74140 is 20.

GCF(74120,74140) = 20

We will now calculate the prime factors of 74120 and 74140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74120 and 74140.

How to find the GCF of 74120 and 74140?

We will first find the prime factorization of 74120 and 74140. After we will calculate the factors of 74120 and 74140 and find the biggest common factor number .

Step-1: Prime Factorization of 74120

Prime factors of 74120 are 2, 5, 17, 109. Prime factorization of 74120 in exponential form is:

74120 = 2³ × 5¹ × 17¹ × 109¹

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 74120

List of positive integer factors of 74120 that divides 74120 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 109, 136, 170, 218, 340, 436, 545, 680, 872, 1090, 1853, 2180, 3706, 4360, 7412, 9265, 14824, 18530, 37060

Step-4: Factors of 74140

List of positive integer factors of 74140 that divides 74120 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 74120 and 74140. The biggest common factor number is the GCF number.
So the greatest common factor 74120 and 74140 is 20.

Also check out the Least Common Multiple of 74120 and 74140