What is the Greatest Common Factor of 68697 and 68714?

Greatest common factor (GCF) of 68697 and 68714 is 17.

GCF(68697,68714) = 17

We will now calculate the prime factors of 68697 and 68714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68697 and 68714.

How to find the GCF of 68697 and 68714?

We will first find the prime factorization of 68697 and 68714. After we will calculate the factors of 68697 and 68714 and find the biggest common factor number .

Step-1: Prime Factorization of 68697

Prime factors of 68697 are 3, 17, 449. Prime factorization of 68697 in exponential form is:

68697 = 3² × 17¹ × 449¹

Step-2: Prime Factorization of 68714

Prime factors of 68714 are 2, 17, 43, 47. Prime factorization of 68714 in exponential form is:

68714 = 2¹ × 17¹ × 43¹ × 47¹

Step-3: Factors of 68697

List of positive integer factors of 68697 that divides 68697 without a remainder.

1, 3, 9, 17, 51, 153, 449, 1347, 4041, 7633, 22899

Step-4: Factors of 68714

List of positive integer factors of 68714 that divides 68697 without a remainder.

1, 2, 17, 34, 43, 47, 86, 94, 731, 799, 1462, 1598, 2021, 4042, 34357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68697 and 68714. The biggest common factor number is the GCF number.
So the greatest common factor 68697 and 68714 is 17.

Also check out the Least Common Multiple of 68697 and 68714