What is the Greatest Common Factor of 74741 and 74745?

Greatest common factor (GCF) of 74741 and 74745 is 1.

GCF(74741,74745) = 1

We will now calculate the prime factors of 74741 and 74745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74741 and 74745.

How to find the GCF of 74741 and 74745?

We will first find the prime factorization of 74741 and 74745. After we will calculate the factors of 74741 and 74745 and find the biggest common factor number .

Step-1: Prime Factorization of 74741

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

74741 = 31¹ × 2411¹

Step-2: Prime Factorization of 74745

Prime factors of 74745 are 3, 5, 11, 151. Prime factorization of 74745 in exponential form is:

74745 = 3² × 5¹ × 11¹ × 151¹

Step-3: Factors of 74741

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

1, 31, 2411

Step-4: Factors of 74745

List of positive integer factors of 74745 that divides 74741 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 151, 165, 453, 495, 755, 1359, 1661, 2265, 4983, 6795, 8305, 14949, 24915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74741 and 74745. The biggest common factor number is the GCF number.
So the greatest common factor 74741 and 74745 is 1.

Also check out the Least Common Multiple of 74741 and 74745