What is the Greatest Common Factor of 74736 and 74743?

Greatest common factor (GCF) of 74736 and 74743 is 1.

GCF(74736,74743) = 1

We will now calculate the prime factors of 74736 and 74743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74736 and 74743.

How to find the GCF of 74736 and 74743?

We will first find the prime factorization of 74736 and 74743. After we will calculate the factors of 74736 and 74743 and find the biggest common factor number .

Step-1: Prime Factorization of 74736

Prime factors of 74736 are 2, 3, 173. Prime factorization of 74736 in exponential form is:

74736 = 2⁴ × 3³ × 173¹

Step-2: Prime Factorization of 74743

Prime factors of 74743 are 41, 1823. Prime factorization of 74743 in exponential form is:

74743 = 41¹ × 1823¹

Step-3: Factors of 74736

List of positive integer factors of 74736 that divides 74736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 173, 216, 346, 432, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 4671, 6228, 8304, 9342, 12456, 18684, 24912, 37368

Step-4: Factors of 74743

List of positive integer factors of 74743 that divides 74736 without a remainder.

1, 41, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74736 and 74743. The biggest common factor number is the GCF number.
So the greatest common factor 74736 and 74743 is 1.

Also check out the Least Common Multiple of 74736 and 74743