What is the Greatest Common Factor of 69700 and 69718?

Greatest common factor (GCF) of 69700 and 69718 is 2.

GCF(69700,69718) = 2

We will now calculate the prime factors of 69700 and 69718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69700 and 69718.

How to find the GCF of 69700 and 69718?

We will first find the prime factorization of 69700 and 69718. After we will calculate the factors of 69700 and 69718 and find the biggest common factor number .

Step-1: Prime Factorization of 69700

Prime factors of 69700 are 2, 5, 17, 41. Prime factorization of 69700 in exponential form is:

69700 = 2² × 5² × 17¹ × 41¹

Step-2: Prime Factorization of 69718

Prime factors of 69718 are 2, 11, 3169. Prime factorization of 69718 in exponential form is:

69718 = 2¹ × 11¹ × 3169¹

Step-3: Factors of 69700

List of positive integer factors of 69700 that divides 69700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 41, 50, 68, 82, 85, 100, 164, 170, 205, 340, 410, 425, 697, 820, 850, 1025, 1394, 1700, 2050, 2788, 3485, 4100, 6970, 13940, 17425, 34850

Step-4: Factors of 69718

List of positive integer factors of 69718 that divides 69700 without a remainder.

1, 2, 11, 22, 3169, 6338, 34859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69700 and 69718. The biggest common factor number is the GCF number.
So the greatest common factor 69700 and 69718 is 2.

Also check out the Least Common Multiple of 69700 and 69718