What is the Greatest Common Factor of 74111 and 74115?

Greatest common factor (GCF) of 74111 and 74115 is 1.

GCF(74111,74115) = 1

We will now calculate the prime factors of 74111 and 74115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74111 and 74115.

How to find the GCF of 74111 and 74115?

We will first find the prime factorization of 74111 and 74115. After we will calculate the factors of 74111 and 74115 and find the biggest common factor number .

Step-1: Prime Factorization of 74111

Prime factors of 74111 are 37, 2003. Prime factorization of 74111 in exponential form is:

74111 = 37¹ × 2003¹

Step-2: 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-3: Factors of 74111

List of positive integer factors of 74111 that divides 74111 without a remainder.

1, 37, 2003

Step-4: Factors of 74115

List of positive integer factors of 74115 that divides 74111 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74111 and 74115. The biggest common factor number is the GCF number.
So the greatest common factor 74111 and 74115 is 1.

Also check out the Least Common Multiple of 74111 and 74115