What is the Greatest Common Factor of 69741 and 69745?

Greatest common factor (GCF) of 69741 and 69745 is 1.

GCF(69741,69745) = 1

We will now calculate the prime factors of 69741 and 69745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69741 and 69745.

How to find the GCF of 69741 and 69745?

We will first find the prime factorization of 69741 and 69745. After we will calculate the factors of 69741 and 69745 and find the biggest common factor number .

Step-1: Prime Factorization of 69741

Prime factors of 69741 are 3, 7, 41. Prime factorization of 69741 in exponential form is:

69741 = 3⁵ × 7¹ × 41¹

Step-2: Prime Factorization of 69745

Prime factors of 69745 are 5, 13, 29, 37. Prime factorization of 69745 in exponential form is:

69745 = 5¹ × 13¹ × 29¹ × 37¹

Step-3: Factors of 69741

List of positive integer factors of 69741 that divides 69741 without a remainder.

1, 3, 7, 9, 21, 27, 41, 63, 81, 123, 189, 243, 287, 369, 567, 861, 1107, 1701, 2583, 3321, 7749, 9963, 23247

Step-4: Factors of 69745

List of positive integer factors of 69745 that divides 69741 without a remainder.

1, 5, 13, 29, 37, 65, 145, 185, 377, 481, 1073, 1885, 2405, 5365, 13949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69741 and 69745. The biggest common factor number is the GCF number.
So the greatest common factor 69741 and 69745 is 1.

Also check out the Least Common Multiple of 69741 and 69745