What is the Greatest Common Factor of 69769 and 69782?

Greatest common factor (GCF) of 69769 and 69782 is 1.

GCF(69769,69782) = 1

We will now calculate the prime factors of 69769 and 69782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69769 and 69782.

How to find the GCF of 69769 and 69782?

We will first find the prime factorization of 69769 and 69782. After we will calculate the factors of 69769 and 69782 and find the biggest common factor number .

Step-1: Prime Factorization of 69769

Prime factors of 69769 are 7, 9967. Prime factorization of 69769 in exponential form is:

69769 = 7¹ × 9967¹

Step-2: 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-3: Factors of 69769

List of positive integer factors of 69769 that divides 69769 without a remainder.

1, 7, 9967

Step-4: Factors of 69782

List of positive integer factors of 69782 that divides 69769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69769 and 69782. The biggest common factor number is the GCF number.
So the greatest common factor 69769 and 69782 is 1.

Also check out the Least Common Multiple of 69769 and 69782