What is the Greatest Common Factor of 74732 and 74741?

Greatest common factor (GCF) of 74732 and 74741 is 1.

GCF(74732,74741) = 1

We will now calculate the prime factors of 74732 and 74741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74732 and 74741.

How to find the GCF of 74732 and 74741?

We will first find the prime factorization of 74732 and 74741. After we will calculate the factors of 74732 and 74741 and find the biggest common factor number .

Step-1: Prime Factorization of 74732

Prime factors of 74732 are 2, 7, 17, 157. Prime factorization of 74732 in exponential form is:

74732 = 2² × 7¹ × 17¹ × 157¹

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 74732

List of positive integer factors of 74732 that divides 74732 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 157, 238, 314, 476, 628, 1099, 2198, 2669, 4396, 5338, 10676, 18683, 37366

Step-4: Factors of 74741

List of positive integer factors of 74741 that divides 74732 without a remainder.

1, 31, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74732 and 74741. The biggest common factor number is the GCF number.
So the greatest common factor 74732 and 74741 is 1.

Also check out the Least Common Multiple of 74732 and 74741