What is the Greatest Common Factor of 74736 and 74741?

Greatest common factor (GCF) of 74736 and 74741 is 1.

GCF(74736,74741) = 1

We will now calculate the prime factors of 74736 and 74741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74736 and 74741.

How to find the GCF of 74736 and 74741?

We will first find the prime factorization of 74736 and 74741. After we will calculate the factors of 74736 and 74741 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 74741

Prime factors of 74741 are 31, 2411. Prime factorization of 74741 in exponential form is:

74741 = 31¹ × 2411¹

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 74741

List of positive integer factors of 74741 that divides 74736 without a remainder.

1, 31, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74736 and 74741. The biggest common factor number is the GCF number.
So the greatest common factor 74736 and 74741 is 1.

Also check out the Least Common Multiple of 74736 and 74741