What is the Greatest Common Factor of 69706 and 69719?

Greatest common factor (GCF) of 69706 and 69719 is 13.

GCF(69706,69719) = 13

We will now calculate the prime factors of 69706 and 69719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69706 and 69719.

How to find the GCF of 69706 and 69719?

We will first find the prime factorization of 69706 and 69719. After we will calculate the factors of 69706 and 69719 and find the biggest common factor number .

Step-1: Prime Factorization of 69706

Prime factors of 69706 are 2, 7, 13, 383. Prime factorization of 69706 in exponential form is:

69706 = 2¹ × 7¹ × 13¹ × 383¹

Step-2: Prime Factorization of 69719

Prime factors of 69719 are 13, 31, 173. Prime factorization of 69719 in exponential form is:

69719 = 13¹ × 31¹ × 173¹

Step-3: Factors of 69706

List of positive integer factors of 69706 that divides 69706 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 383, 766, 2681, 4979, 5362, 9958, 34853

Step-4: Factors of 69719

List of positive integer factors of 69719 that divides 69706 without a remainder.

1, 13, 31, 173, 403, 2249, 5363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69706 and 69719. The biggest common factor number is the GCF number.
So the greatest common factor 69706 and 69719 is 13.

Also check out the Least Common Multiple of 69706 and 69719