What is the Greatest Common Factor of 69775 and 69782?

Greatest common factor (GCF) of 69775 and 69782 is 1.

GCF(69775,69782) = 1

We will now calculate the prime factors of 69775 and 69782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69775 and 69782.

How to find the GCF of 69775 and 69782?

We will first find the prime factorization of 69775 and 69782. After we will calculate the factors of 69775 and 69782 and find the biggest common factor number .

Step-1: Prime Factorization of 69775

Prime factors of 69775 are 5, 2791. Prime factorization of 69775 in exponential form is:

69775 = 5² × 2791¹

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 69775

List of positive integer factors of 69775 that divides 69775 without a remainder.

1, 5, 25, 2791, 13955

Step-4: Factors of 69782

List of positive integer factors of 69782 that divides 69775 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 69775 and 69782. The biggest common factor number is the GCF number.
So the greatest common factor 69775 and 69782 is 1.

Also check out the Least Common Multiple of 69775 and 69782