What is the Greatest Common Factor of 69741 and 69760?

Greatest common factor (GCF) of 69741 and 69760 is 1.

GCF(69741,69760) = 1

We will now calculate the prime factors of 69741 and 69760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69741 and 69760.

How to find the GCF of 69741 and 69760?

We will first find the prime factorization of 69741 and 69760. After we will calculate the factors of 69741 and 69760 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 69760

Prime factors of 69760 are 2, 5, 109. Prime factorization of 69760 in exponential form is:

69760 = 2⁷ × 5¹ × 109¹

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 69760

List of positive integer factors of 69760 that divides 69741 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 128, 160, 218, 320, 436, 545, 640, 872, 1090, 1744, 2180, 3488, 4360, 6976, 8720, 13952, 17440, 34880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69741 and 69760. The biggest common factor number is the GCF number.
So the greatest common factor 69741 and 69760 is 1.

Also check out the Least Common Multiple of 69741 and 69760