What is the Greatest Common Factor of 69782 and 69791?

Greatest common factor (GCF) of 69782 and 69791 is 1.

GCF(69782,69791) = 1

We will now calculate the prime factors of 69782 and 69791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69782 and 69791.

How to find the GCF of 69782 and 69791?

We will first find the prime factorization of 69782 and 69791. After we will calculate the factors of 69782 and 69791 and find the biggest common factor number .

Step-1: Prime Factorization of 69782

Prime factors of 69782 are 2, 23, 37, 41. Prime factorization of 69782 in exponential form is:

69782 = 2¹ × 23¹ × 37¹ × 41¹

Step-2: Prime Factorization of 69791

Prime factors of 69791 are 101, 691. Prime factorization of 69791 in exponential form is:

69791 = 101¹ × 691¹

Step-3: Factors of 69782

List of positive integer factors of 69782 that divides 69782 without a remainder.

1, 2, 23, 37, 41, 46, 74, 82, 851, 943, 1517, 1702, 1886, 3034, 34891

Step-4: Factors of 69791

List of positive integer factors of 69791 that divides 69782 without a remainder.

1, 101, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69782 and 69791. The biggest common factor number is the GCF number.
So the greatest common factor 69782 and 69791 is 1.

Also check out the Least Common Multiple of 69782 and 69791