What is the Greatest Common Factor of 69693 and 69706?

Greatest common factor (GCF) of 69693 and 69706 is 13.

GCF(69693,69706) = 13

We will now calculate the prime factors of 69693 and 69706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69693 and 69706.

How to find the GCF of 69693 and 69706?

We will first find the prime factorization of 69693 and 69706. After we will calculate the factors of 69693 and 69706 and find the biggest common factor number .

Step-1: Prime Factorization of 69693

Prime factors of 69693 are 3, 13, 1787. Prime factorization of 69693 in exponential form is:

69693 = 3¹ × 13¹ × 1787¹

Step-2: 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-3: Factors of 69693

List of positive integer factors of 69693 that divides 69693 without a remainder.

1, 3, 13, 39, 1787, 5361, 23231

Step-4: Factors of 69706

List of positive integer factors of 69706 that divides 69693 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69693 and 69706. The biggest common factor number is the GCF number.
So the greatest common factor 69693 and 69706 is 13.

Also check out the Least Common Multiple of 69693 and 69706