What is the Greatest Common Factor of 69774 and 69793?

Greatest common factor (GCF) of 69774 and 69793 is 1.

GCF(69774,69793) = 1

We will now calculate the prime factors of 69774 and 69793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69774 and 69793.

How to find the GCF of 69774 and 69793?

We will first find the prime factorization of 69774 and 69793. After we will calculate the factors of 69774 and 69793 and find the biggest common factor number .

Step-1: Prime Factorization of 69774

Prime factors of 69774 are 2, 3, 29, 401. Prime factorization of 69774 in exponential form is:

69774 = 2¹ × 3¹ × 29¹ × 401¹

Step-2: Prime Factorization of 69793

Prime factors of 69793 are 71, 983. Prime factorization of 69793 in exponential form is:

69793 = 71¹ × 983¹

Step-3: Factors of 69774

List of positive integer factors of 69774 that divides 69774 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 401, 802, 1203, 2406, 11629, 23258, 34887

Step-4: Factors of 69793

List of positive integer factors of 69793 that divides 69774 without a remainder.

1, 71, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69774 and 69793. The biggest common factor number is the GCF number.
So the greatest common factor 69774 and 69793 is 1.

Also check out the Least Common Multiple of 69774 and 69793