What is the Greatest Common Factor of 69759 and 69769?

Greatest common factor (GCF) of 69759 and 69769 is 1.

GCF(69759,69769) = 1

We will now calculate the prime factors of 69759 and 69769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69759 and 69769.

How to find the GCF of 69759 and 69769?

We will first find the prime factorization of 69759 and 69769. After we will calculate the factors of 69759 and 69769 and find the biggest common factor number .

Step-1: Prime Factorization of 69759

Prime factors of 69759 are 3, 23, 337. Prime factorization of 69759 in exponential form is:

69759 = 3² × 23¹ × 337¹

Step-2: Prime Factorization of 69769

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

69769 = 7¹ × 9967¹

Step-3: Factors of 69759

List of positive integer factors of 69759 that divides 69759 without a remainder.

1, 3, 9, 23, 69, 207, 337, 1011, 3033, 7751, 23253

Step-4: Factors of 69769

List of positive integer factors of 69769 that divides 69759 without a remainder.

1, 7, 9967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69759 and 69769. The biggest common factor number is the GCF number.
So the greatest common factor 69759 and 69769 is 1.

Also check out the Least Common Multiple of 69759 and 69769