What is the Greatest Common Factor of 69707 and 69723?

Greatest common factor (GCF) of 69707 and 69723 is 1.

GCF(69707,69723) = 1

We will now calculate the prime factors of 69707 and 69723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69707 and 69723.

How to find the GCF of 69707 and 69723?

We will first find the prime factorization of 69707 and 69723. After we will calculate the factors of 69707 and 69723 and find the biggest common factor number .

Step-1: Prime Factorization of 69707

Prime factors of 69707 are 11, 6337. Prime factorization of 69707 in exponential form is:

69707 = 11¹ × 6337¹

Step-2: Prime Factorization of 69723

Prime factors of 69723 are 3, 61, 127. Prime factorization of 69723 in exponential form is:

69723 = 3² × 61¹ × 127¹

Step-3: Factors of 69707

List of positive integer factors of 69707 that divides 69707 without a remainder.

1, 11, 6337

Step-4: Factors of 69723

List of positive integer factors of 69723 that divides 69707 without a remainder.

1, 3, 9, 61, 127, 183, 381, 549, 1143, 7747, 23241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69707 and 69723. The biggest common factor number is the GCF number.
So the greatest common factor 69707 and 69723 is 1.

Also check out the Least Common Multiple of 69707 and 69723