What is the Greatest Common Factor of 74115 and 74120?

Greatest common factor (GCF) of 74115 and 74120 is 5.

GCF(74115,74120) = 5

We will now calculate the prime factors of 74115 and 74120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74115 and 74120.

How to find the GCF of 74115 and 74120?

We will first find the prime factorization of 74115 and 74120. After we will calculate the factors of 74115 and 74120 and find the biggest common factor number .

Step-1: Prime Factorization of 74115

Prime factors of 74115 are 3, 5, 61. Prime factorization of 74115 in exponential form is:

74115 = 3⁵ × 5¹ × 61¹

Step-2: 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-3: Factors of 74115

List of positive integer factors of 74115 that divides 74115 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 81, 135, 183, 243, 305, 405, 549, 915, 1215, 1647, 2745, 4941, 8235, 14823, 24705

Step-4: Factors of 74120

List of positive integer factors of 74120 that divides 74115 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74115 and 74120. The biggest common factor number is the GCF number.
So the greatest common factor 74115 and 74120 is 5.

Also check out the Least Common Multiple of 74115 and 74120